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64964313 = 3231232847
BaseRepresentation
bin1111011111010…
…0011011011001
311112020112021200
43313310123121
5113112324223
610240224413
71416121221
oct367643331
9145215250
1064964313
1133741717
121990b109
13105c772b
1488b1081
155a83a43
hex3df46d9

64964313 has 12 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 41912280.

The previous prime is 64964309. The next prime is 64964353. The reversal of 64964313 is 31346946.

64964313 is a `hidden beast` number, since 6 + 4 + 9 + 643 + 1 + 3 = 666.

It is not a de Polignac number, because 64964313 - 22 = 64964309 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64964303) 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 11 ways as a sum of consecutive naturals, for example, 116145 + ... + 116702.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 264964313 is an apocalyptic number.

It is an amenable number.

64964313 is a deficient number, since it is larger than the sum of its proper divisors (31900455).

64964313 is a wasteful number, since it uses less digits than its factorization.

64964313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232884 (or 232881 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 64964313 is about 8060.0442306479. The cubic root of 64964313 is about 401.9989789831.

The spelling of 64964313 in words is "sixty-four million, nine hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 3 9 31 93 279 232847 698541 2095623 7218257 21654771 64964313