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13257368217 = 323134706201
BaseRepresentation
bin11000101100011001…
…10110001010011001
31021012221002002021200
430112030312022121
5204122341240332
610031303224413
7646346525202
oct142614661231
937187062250
1013257368217
115693490a65
12269ba48109
1313337c40a2
148daa025a9
15528d3e17c
hex316336299

13257368217 has 12 divisors (see below), whose sum is σ = 19210716564. Its totient is φ = 8810006400.

The previous prime is 13257368149. The next prime is 13257368221. The reversal of 13257368217 is 71286375231.

13257368217 is a `hidden beast` number, since 1 + 3 + 2 + 573 + 68 + 2 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2882723481 + 10374644736 = 53691^2 + 101856^2 .

It is not a de Polignac number, because 13257368217 - 220 = 13256319641 is a prime.

It is a super-2 number, since 2×132573682172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13257368297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350284 + ... + 2355917.

It is an arithmetic number, because the mean of its divisors is an integer number (1600893047).

Almost surely, 213257368217 is an apocalyptic number.

It is an amenable number.

13257368217 is a deficient number, since it is larger than the sum of its proper divisors (5953348347).

13257368217 is a wasteful number, since it uses less digits than its factorization.

13257368217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706520 (or 4706517 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 13257368217 in words is "thirteen billion, two hundred fifty-seven million, three hundred sixty-eight thousand, two hundred seventeen".

Divisors: 1 3 9 313 939 2817 4706201 14118603 42355809 1473040913 4419122739 13257368217