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10168500132 = 2233713450397
BaseRepresentation
bin10010111100001011…
…01111111110100100
3222020122211022212000
421132011233332210
5131311114001012
64401002125300
7506661552660
oct113605577644
928218738760
1010168500132
11434894271a
121b794b0830
13c60895bab
146c66a58a0
153e7a93ddc
hex25e16ffa4

10168500132 has 48 divisors (see below), whose sum is σ = 30128891520. Its totient is φ = 2905285536.

The previous prime is 10168500131. The next prime is 10168500187. The reversal of 10168500132 is 23100586101.

10168500132 is a `hidden beast` number, since 10 + 16 + 8 + 500 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10168500096 and 10168500105.

It is not an unprimeable number, because it can be changed into a prime (10168500131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6724443 + ... + 6725954.

It is an arithmetic number, because the mean of its divisors is an integer number (627685240).

Almost surely, 210168500132 is an apocalyptic number.

10168500132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10168500132 is an abundant number, since it is smaller than the sum of its proper divisors (19960391388).

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

10168500132 is a wasteful number, since it uses less digits than its factorization.

10168500132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450417 (or 13450409 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10168500132 in words is "ten billion, one hundred sixty-eight million, five hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13450397 26900794 40351191 53801588 80702382 94152779 121053573 161404764 188305558 242107146 282458337 363160719 376611116 484214292 564916674 726321438 847375011 1129833348 1452642876 1694750022 2542125033 3389500044 5084250066 10168500132