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10188864972 = 223211131979189
BaseRepresentation
bin10010111110100110…
…11011110111001100
3222022002010222011100
421133103123313030
5131331322134342
64403010423100
7510326631456
oct113723336714
928262128140
1010188864972
114359392070
121b84291a90
13c64b763b0
146c92872d6
153e9767e4c
hex25f4dbdcc

10188864972 has 72 divisors (see below), whose sum is σ = 30257856720. Its totient is φ = 2850030720.

The previous prime is 10188864971. The next prime is 10188864997. The reversal of 10188864972 is 27946888101.

It is not an unprimeable number, because it can be changed into a prime (10188864971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984447 + ... + 994742.

It is an arithmetic number, because the mean of its divisors is an integer number (420248010).

Almost surely, 210188864972 is an apocalyptic number.

10188864972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10188864972 is an abundant number, since it is smaller than the sum of its proper divisors (20068991748).

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

10188864972 is a wasteful number, since it uses less digits than its factorization.

10188864972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979223 (or 1979218 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 10188864972 in words is "ten billion, one hundred eighty-eight million, eight hundred sixty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 1979189 3958378 5937567 7916756 11875134 17812701 21771079 23750268 25729457 35625402 43542158 51458914 65313237 71250804 77188371 87084316 102917828 130626474 154376742 195939711 231565113 261252948 283024027 308753484 391879422 463130226 566048054 783758844 849072081 926260452 1132096108 1698144162 2547216243 3396288324 5094432486 10188864972