Base | Representation |
---|---|

bin | 100100010000000000… |

… | …000001100000100000 |

3 | 10201110121202202022000 |

4 | 210100000001200200 |

5 | 1114203311203141 |

6 | 25514150044000 |

7 | 2545360202355 |

oct | 442000014040 |

9 | 121417682260 |

10 | 38923147296 |

11 | 15564113730 |

12 | 7663349600 |

13 | 3893c47707 |

14 | 1c5357662c |

15 | 102c1c45b6 |

hex | 910001820 |

38923147296 has 768 divisors, whose sum is σ = 136802856960. Its totient is φ = 10644480000.

The previous prime is 38923147271. The next prime is 38923147301. The reversal of 38923147296 is 69274132983.

38923147296 is a *`hidden beast`* number, since 3 + 89 + 2 + 3 + 1 + 472 + 96 = 666.

It is a super-2 number, since 2×38923147296^{2} (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3919104) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385377646 + ... + 385377746.

It is an arithmetic number, because the mean of its divisors is an integer number (178128720).

Almost surely, 2^{38923147296} is an apocalyptic number.

38923147296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38923147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68401428480).

38923147296 is an abundant number, since it is smaller than the sum of its proper divisors (97879709664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38923147296 is a wasteful number, since it uses less digits than its factorization.

38923147296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 38923147296 in words is "thirty-eight billion, nine hundred twenty-three million, one hundred forty-seven thousand, two hundred ninety-six".

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