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157166416 = 2411281181
BaseRepresentation
bin10010101111000…
…10101101010000
3101221201212210101
421113202231100
5310213311131
623332342144
73615615061
oct1127425520
9357655711
10157166416
1180797500
1244774954
132673aaa4
1416c32568
15dbe7c61
hex95e2b50

157166416 has 30 divisors (see below), whose sum is σ = 334713386. Its totient is φ = 71438400.

The previous prime is 157166351. The next prime is 157166441. The reversal of 157166416 is 614661751.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 16032016 = 11880^2 + 4004^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 38655 + ... + 42526.

Almost surely, 2157166416 is an apocalyptic number.

157166416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157166416 is an abundant number, since it is smaller than the sum of its proper divisors (177546970).

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

157166416 is a wasteful number, since it uses less digits than its factorization.

157166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81211 (or 81194 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 157166416 is about 12536.6030486731. The cubic root of 157166416 is about 539.6596117278.

The spelling of 157166416 in words is "one hundred fifty-seven million, one hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 81181 162362 324724 649448 892991 1298896 1785982 3571964 7143928 9822901 14287856 19645802 39291604 78583208 157166416