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10157916060 = 2232556432867
BaseRepresentation
bin10010111010111010…
…10111111110011100
3222012220220121020100
421131131113332130
5131300411303220
64355543221100
7506502601425
oct113535277634
928186817210
1010157916060
114342973756
121b75a47790
13c5b62b526
146c510c64c
153e6ba2d90
hex25d757f9c

10157916060 has 36 divisors (see below), whose sum is σ = 30812345928. Its totient is φ = 2708777568.

The previous prime is 10157916049. The next prime is 10157916077. The reversal of 10157916060 is 6061975101.

It is a happy number.

10157916060 is a `hidden beast` number, since 10 + 1 + 579 + 16 + 0 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28216254 + ... + 28216613.

It is an arithmetic number, because the mean of its divisors is an integer number (855898498).

Almost surely, 210157916060 is an apocalyptic number.

10157916060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10157916060 is an abundant number, since it is smaller than the sum of its proper divisors (20654429868).

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

10157916060 is a wasteful number, since it uses less digits than its factorization.

10157916060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56432882 (or 56432877 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10157916060 in words is "ten billion, one hundred fifty-seven million, nine hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56432867 112865734 169298601 225731468 282164335 338597202 507895803 564328670 677194404 846493005 1015791606 1128657340 1692986010 2031583212 2539479015 3385972020 5078958030 10157916060