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13171408657 = 112613317749
BaseRepresentation
bin11000100010001001…
…11011111100010001
31020222221022212221021
430101010323330101
5203433340034112
610014552555441
7644254061221
oct142104737421
936887285837
1013171408657
115649a0a300
1226770b2b81
13131ba58244
148cd428081
1552150e907
hex31113bf11

13171408657 has 12 divisors (see below), whose sum is σ = 14480840500. Its totient is φ = 11971380960.

The previous prime is 13171408651. The next prime is 13171408669. The reversal of 13171408657 is 75680417131.

It can be written as a sum of positive squares in 2 ways, for example, as 7018418176 + 6152990481 = 83776^2 + 78441^2 .

It is a de Polignac number, because none of the positive numbers 2k-13171408657 is a prime.

It is a super-3 number, since 3×131714086573 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13171408651) 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, 733219 + ... + 750967.

Almost surely, 213171408657 is an apocalyptic number.

It is an amenable number.

13171408657 is a deficient number, since it is larger than the sum of its proper divisors (1309431843).

13171408657 is a wasteful number, since it uses less digits than its factorization.

13171408657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23904 (or 23893 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 13171408657 in words is "thirteen billion, one hundred seventy-one million, four hundred eight thousand, six hundred fifty-seven".

Divisors: 1 11 121 6133 17749 67463 195239 742093 2147629 108854617 1197400787 13171408657