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10157596904 = 23721323791097
BaseRepresentation
bin10010111010111000…
…01010000011101000
3222012220022101102202
421131130022003220
5131300321100104
64355532315332
7506500102100
oct113534120350
928186271382
1010157596904
114342775994
121b75912b48
13c5b549190
146c5068200
153e6b3d51e
hex25d70a0e8

10157596904 has 192 divisors, whose sum is σ = 25234675200. Its totient is φ = 3791563776.

The previous prime is 10157596903. The next prime is 10157596913. The reversal of 10157596904 is 40969575101.

It is not an unprimeable number, because it can be changed into a prime (10157596903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9258884 + ... + 9259980.

It is an arithmetic number, because the mean of its divisors is an integer number (131430600).

Almost surely, 210157596904 is an apocalyptic number.

10157596904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157596904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617337600).

10157596904 is an abundant number, since it is smaller than the sum of its proper divisors (15077078296).

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

10157596904 is a wasteful number, since it uses less digits than its factorization.

10157596904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 47.

The spelling of 10157596904 in words is "ten billion, one hundred fifty-seven million, five hundred ninety-six thousand, nine hundred four".