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157117059 = 32113759727
BaseRepresentation
bin10010101110101…
…10101010000011
3101221122101002100
421113112222003
5310210221214
623331321443
73615321141
oct1127265203
9357571070
10157117059
1180763410
1244750283
1326721498
1416c1c591
15dbd8309
hex95d6a83

157117059 has 48 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 90953280.

The previous prime is 157117049. The next prime is 157117087. The reversal of 157117059 is 950711751.

157117059 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157117059 - 25 = 157117027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157117019) 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, 215754 + ... + 216480.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2157117059 is an apocalyptic number.

157117059 is a deficient number, since it is larger than the sum of its proper divisors (101817981).

157117059 is a wasteful number, since it uses less digits than its factorization.

157117059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 36.

The square root of 157117059 is about 12534.6343783933. The cubic root of 157117059 is about 539.6031137199.

The spelling of 157117059 in words is "one hundred fifty-seven million, one hundred seventeen thousand, fifty-nine".

Divisors: 1 3 9 11 33 37 59 99 111 177 333 407 531 649 727 1221 1947 2181 2183 3663 5841 6543 6549 7997 19647 23991 24013 26899 42893 71973 72039 80697 128679 216117 242091 295889 386037 471823 887667 1415469 1587041 2663001 4246407 4761123 14283369 17457451 52372353 157117059