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

bin | 100010100000100110… |

… | …010010010110100000 |

3 | 10112122100212210222012 |

4 | 202200212102112200 |

5 | 1101341324121233 |

6 | 25004502332052 |

7 | 2451143622161 |

oct | 424046222640 |

9 | 115570783865 |

10 | 37054129568 |

11 | 147950a9a85 |

12 | 722142a028 |

13 | 3656970c71 |

14 | 1b17255768 |

15 | e6d086548 |

hex | 8a09925a0 |

37054129568 has 96 divisors (see below), whose sum is σ = 75263924736. Its totient is φ = 17951182848.

The previous prime is 37054129523. The next prime is 37054129571. The reversal of 37054129568 is 86592145073.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a cake number, because a cake can be divided into 37054129568 parts by 6058 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43236596 + ... + 43237452.

It is an arithmetic number, because the mean of its divisors is an integer number (783999216).

It is a 2-persistent number, because it is pandigital, and so is 2⋅37054129568 = 74108259136, but 3⋅37054129568 = 111162388704 is not.

Almost surely, 2^{37054129568} is an apocalyptic number.

It is an amenable number.

37054129568 is an abundant number, since it is smaller than the sum of its proper divisors (38209795168).

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

37054129568 is a wasteful number, since it uses less digits than its factorization.

37054129568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 37054129568 in words is "thirty-seven billion, fifty-four million, one hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 73 83 146 166 223 292 332 446 584 664 857 892 1168 1328 1714 1784 2336 2656 3428 3568 6059 6856 7136 12118 13712 16279 18509 24236 27424 32558 37018 48472 62561 65116 71131 74036 96944 125122 130232 142262 148072 191111 193888 250244 260464 284524 296144 382222 500488 520928 569048 592288 764444 1000976 1138096 1351157 1528888 2001952 2276192 2702314 3057776 5192563 5404628 6115552 10385126 10809256 13951103 15862213 20770252 21618512 27902206 31724426 41540504 43237024 55804412 63448852 83081008 111608824 126897704 166162016 223217648 253795408 446435296 507590816 1157941549 2315883098 4631766196 9263532392 18527064784 37054129568

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