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157164047 is a prime number
BaseRepresentation
bin10010101111000…
…10001000001111
3101221201202112122
421113202020033
5310213222142
623332323155
73615605135
oct1127421017
9357652478
10157164047
1180795747
12447734bb
13267399a1
1416c31755
15dbe71d2
hex95e220f

157164047 has 2 divisors, whose sum is σ = 157164048. Its totient is φ = 157164046.

The previous prime is 157164043. The next prime is 157164127. The reversal of 157164047 is 740461751.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (740461751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157164047 - 22 = 157164043 is a prime.

It is equal to p8824319 and since 157164047 and 8824319 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 157163998 and 157164016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157164043) by changing a digit.

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 as a sum of consecutive naturals, namely, 78582023 + 78582024.

It is an arithmetic number, because the mean of its divisors is an integer number (78582024).

Almost surely, 2157164047 is an apocalyptic number.

157164047 is a deficient number, since it is larger than the sum of its proper divisors (1).

157164047 is an equidigital number, since it uses as much as digits as its factorization.

157164047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 157164047 is about 12536.5085649873. The cubic root of 157164047 is about 539.6569002494.

The spelling of 157164047 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, forty-seven".