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315664517 = 7217378949
BaseRepresentation
bin10010110100001…
…010100010000101
3210222222102022102
4102310022202011
51121302231032
651153441445
710552050500
oct2264124205
9728872272
10315664517
11152203473
1289870285
1350523a4c
142dcd0137
151caa5362
hex12d0a885

315664517 has 12 divisors (see below), whose sum is σ = 388802700. Its totient is φ = 254653056.

The previous prime is 315664513. The next prime is 315664541. The reversal of 315664517 is 715466513.

It can be written as a sum of positive squares in 2 ways, for example, as 173554276 + 142110241 = 13174^2 + 11921^2 .

It is not a de Polignac number, because 315664517 - 22 = 315664513 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 (315664513) 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 11 ways as a sum of consecutive naturals, for example, 188642 + ... + 190307.

It is an arithmetic number, because the mean of its divisors is an integer number (32400225).

Almost surely, 2315664517 is an apocalyptic number.

It is an amenable number.

315664517 is a deficient number, since it is larger than the sum of its proper divisors (73138183).

315664517 is a wasteful number, since it uses less digits than its factorization.

315664517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378980 (or 378973 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 315664517 is about 17766.9501321977. The cubic root of 315664517 is about 680.8873342580.

The spelling of 315664517 in words is "three hundred fifteen million, six hundred sixty-four thousand, five hundred seventeen".

Divisors: 1 7 17 49 119 833 378949 2652643 6442133 18568501 45094931 315664517