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157318164 = 22324369949
BaseRepresentation
bin10010110000001…
…11110000010100
3101222000120221200
421120013300110
5310233140124
623335512500
73620116353
oct1130076024
9358016850
10157318164
1180890513
1244828730
1326791b93
1416c7199a
15dc27bc9
hex9607c14

157318164 has 18 divisors (see below), whose sum is σ = 397665450. Its totient is φ = 52439376.

The previous prime is 157318163. The next prime is 157318177. The reversal of 157318164 is 461813751.

157318164 is a `hidden beast` number, since 1 + 573 + 1 + 81 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 66564 = 12540^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4369949 = 157318164 / (1 + 5 + 7 + 3 + 1 + 8 + 1 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157318163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2184939 + ... + 2185010.

It is an arithmetic number, because the mean of its divisors is an integer number (22092525).

Almost surely, 2157318164 is an apocalyptic number.

It is an amenable number.

157318164 is an abundant number, since it is smaller than the sum of its proper divisors (240347286).

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

157318164 is a wasteful number, since it uses less digits than its factorization.

157318164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369959 (or 4369954 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 157318164 is about 12542.6537861810. The cubic root of 157318164 is about 539.8332406888.

The spelling of 157318164 in words is "one hundred fifty-seven million, three hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4369949 8739898 13109847 17479796 26219694 39329541 52439388 78659082 157318164