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18131295969 = 329720768953
BaseRepresentation
bin10000111000101101…
…011001111011100001
31201210121020021020100
4100320231121323201
5244113102432334
612155052333013
71211211321123
oct207055317341
951717207210
1018131295969
11776470a026
123620174169
13192c4b0bc7
14c40047213
15711b90c99
hex438b59ee1

18131295969 has 12 divisors (see below), whose sum is σ = 26459647396. Its totient is φ = 11962916352.

The previous prime is 18131295947. The next prime is 18131295977. The reversal of 18131295969 is 96959213181.

18131295969 is a `hidden beast` number, since 18 + 1 + 31 + 2 + 9 + 596 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14985432225 + 3145863744 = 122415^2 + 56088^2 .

It is not a de Polignac number, because 18131295969 - 25 = 18131295937 is a prime.

It is a super-2 number, since 2×181312959692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18131295569) 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, 10383604 + ... + 10385349.

Almost surely, 218131295969 is an apocalyptic number.

It is an amenable number.

18131295969 is a deficient number, since it is larger than the sum of its proper divisors (8328351427).

18131295969 is a wasteful number, since it uses less digits than its factorization.

18131295969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20769056 (or 20769053 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 18131295969 in words is "eighteen billion, one hundred thirty-one million, two hundred ninety-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 97 291 873 20768953 62306859 186920577 2014588441 6043765323 18131295969