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10085920524 = 2233157594829
BaseRepresentation
bin10010110010010101…
…01110111100001100
3222000220102211221000
421121022232330030
5131123443424044
64344452140300
7504636624051
oct113112567414
928026384830
1010085920524
11430626a409
121b55907690
13c49741614
146b972b028
153e06d0d69
hex2592aef0c

10085920524 has 48 divisors (see below), whose sum is σ = 26315279200. Its totient is φ = 3340554048.

The previous prime is 10085920477. The next prime is 10085920543. The reversal of 10085920524 is 42502958001.

10085920524 is a `hidden beast` number, since 10 + 0 + 8 + 592 + 0 + 52 + 4 = 666.

10085920524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280459 + ... + 314370.

Almost surely, 210085920524 is an apocalyptic number.

It is an amenable number.

10085920524 is an abundant number, since it is smaller than the sum of its proper divisors (16229358676).

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

10085920524 is a wasteful number, since it uses less digits than its factorization.

10085920524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594999 (or 594991 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10085920524 in words is "ten billion, eighty-five million, nine hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 8478 16956 594829 1189658 1784487 2379316 3568974 5353461 7137948 10706922 16060383 21413844 32120766 64241532 93388153 186776306 280164459 373552612 560328918 840493377 1120657836 1680986754 2521480131 3361973508 5042960262 10085920524