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10245042864 = 243373387911
BaseRepresentation
bin10011000101010011…
…01111001010110000
3222102222212002202000
421202221233022300
5131440212332424
64412334454000
7511611266430
oct114251571260
928388762660
1010245042864
114388072381
121b9b064300
13c736b5754
146d290c2c0
153ee6633c9
hex262a6f2b0

10245042864 has 80 divisors (see below), whose sum is σ = 33608087040. Its totient is φ = 2927154240.

The previous prime is 10245042851. The next prime is 10245042893. The reversal of 10245042864 is 46824054201.

10245042864 is a `hidden beast` number, since 102 + 450 + 42 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1690932 + ... + 1696979.

It is an arithmetic number, because the mean of its divisors is an integer number (420101088).

Almost surely, 210245042864 is an apocalyptic number.

10245042864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10245042864 is an abundant number, since it is smaller than the sum of its proper divisors (23363044176).

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

10245042864 is a wasteful number, since it uses less digits than its factorization.

10245042864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387935 (or 3387923 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10245042864 in words is "ten billion, two hundred forty-five million, forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3387911 6775822 10163733 13551644 20327466 23715377 27103288 30491199 40654932 47430754 54206576 60982398 71146131 81309864 91473597 94861508 121964796 142292262 162619728 182947194 189723016 213438393 243929592 284584524 365894388 379446032 426876786 487859184 569169048 640315179 731788776 853753572 1138338096 1280630358 1463577552 1707507144 2561260716 3415014288 5122521432 10245042864