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157117632 = 2637116903
BaseRepresentation
bin10010101110101…
…10110011000000
3101221122101212120
421113112303000
5310210231012
623331324240
73615322620
oct1127266300
9357571776
10157117632
1180763891
1244750680
1326721819
1416c1c880
15dbd858c
hex95d6cc0

157117632 has 56 divisors (see below), whose sum is σ = 475097856. Its totient is φ = 44890368.

The previous prime is 157117619. The next prime is 157117643. The reversal of 157117632 is 236711751.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 157117593 and 157117602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57108 + ... + 59795.

Almost surely, 2157117632 is an apocalyptic number.

157117632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157117632 is an abundant number, since it is smaller than the sum of its proper divisors (317980224).

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

157117632 is a wasteful number, since it uses less digits than its factorization.

157117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116925 (or 116915 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 157117632 is about 12534.6572350424. The cubic root of 157117632 is about 539.6037696899.

The spelling of 157117632 in words is "one hundred fifty-seven million, one hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 116903 233806 350709 467612 701418 818321 935224 1402836 1636642 1870448 2454963 2805672 3273284 3740896 4909926 5611344 6546568 7481792 9819852 11222688 13093136 19639704 22445376 26186272 39279408 52372544 78558816 157117632