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164936151 = 32233125703
BaseRepresentation
bin10011101010010…
…11100111010111
3102111100121212100
421311023213113
5314210424101
624211053143
74041635262
oct1165134727
9374317770
10164936151
1185113a76
12472a11b3
132822b473
1417c95cd9
15e72ee86
hex9d4b9d7

164936151 has 24 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 101779920.

The previous prime is 164936147. The next prime is 164936171. The reversal of 164936151 is 151639461.

164936151 is a `hidden beast` number, since 1 + 649 + 3 + 6 + 1 + 5 + 1 = 666.

It is not a de Polignac number, because 164936151 - 22 = 164936147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164936171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6435 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (10692864).

Almost surely, 2164936151 is an apocalyptic number.

164936151 is a deficient number, since it is larger than the sum of its proper divisors (91692585).

164936151 is a wasteful number, since it uses less digits than its factorization.

164936151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25763 (or 25760 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 164936151 is about 12842.7470192323. The cubic root of 164936151 is about 548.4098987595.

The spelling of 164936151 in words is "one hundred sixty-four million, nine hundred thirty-six thousand, one hundred fifty-one".

Divisors: 1 3 9 23 31 69 93 207 279 713 2139 6417 25703 77109 231327 591169 796793 1773507 2390379 5320521 7171137 18326239 54978717 164936151