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164359917 = 3218262213
BaseRepresentation
bin10011100101111…
…10111011101101
3102110021100102100
421302332323231
5314034004132
624150445313
74034015301
oct1162767355
9373240370
10164359917
1184860047
1247063839
13280890b7
1417b85d01
15e66937c
hex9cbeeed

164359917 has 6 divisors (see below), whose sum is σ = 237408782. Its totient is φ = 109573272.

The previous prime is 164359913. The next prime is 164359931. The reversal of 164359917 is 719953461.

164359917 is a `hidden beast` number, since 1 + 6 + 43 + 599 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139499721 + 24860196 = 11811^2 + 4986^2 .

It is not a de Polignac number, because 164359917 - 22 = 164359913 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164359913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9131098 + ... + 9131115.

Almost surely, 2164359917 is an apocalyptic number.

It is an amenable number.

164359917 is a deficient number, since it is larger than the sum of its proper divisors (73048865).

164359917 is a wasteful number, since it uses less digits than its factorization.

164359917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262219 (or 18262216 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 164359917 is about 12820.2931713748. The cubic root of 164359917 is about 547.7704974740.

The spelling of 164359917 in words is "one hundred sixty-four million, three hundred fifty-nine thousand, nine hundred seventeen".

Divisors: 1 3 9 18262213 54786639 164359917