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157368168 = 23324153309
BaseRepresentation
bin10010110000100…
…11111101101000
3101222010010112200
421120103331220
5310241240133
623340540200
73620415216
oct1130237550
9358103480
10157368168
1180915041
1244851660
13267ab879
1416c85cb6
15dc37913
hex9613f68

157368168 has 48 divisors (see below), whose sum is σ = 436608900. Its totient is φ = 51175680.

The previous prime is 157368161. The next prime is 157368179. The reversal of 157368168 is 861863751.

157368168 is a `hidden beast` number, since 1 + 573 + 68 + 16 + 8 = 666.

157368168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135070884 + 22297284 = 11622^2 + 4722^2 .

It is not an unprimeable number, because it can be changed into a prime (157368161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23703 + ... + 29606.

Almost surely, 2157368168 is an apocalyptic number.

157368168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157368168 is an abundant number, since it is smaller than the sum of its proper divisors (279240732).

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

157368168 is a wasteful number, since it uses less digits than its factorization.

157368168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53362 (or 53355 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157368168 is about 12544.6469858661. The cubic root of 157368168 is about 539.8904304440.

The spelling of 157368168 in words is "one hundred fifty-seven million, three hundred sixty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 53309 106618 159927 213236 319854 426472 479781 639708 959562 1279416 1919124 2185669 3838248 4371338 6557007 8742676 13114014 17485352 19671021 26228028 39342042 52456056 78684084 157368168