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12706365061 = 135328165629
BaseRepresentation
bin10111101010101101…
…11011111010000101
31012210112021020001101
423311112323322011
5202010312140221
65500501300101
7626606215045
oct136526737205
935715236041
1012706365061
115430459155
122567404631
1312765c2110
14887771725
154e579dd91
hex2f55bbe85

12706365061 has 16 divisors (see below), whose sum is σ = 13991790960. Its totient is φ = 11466524160.

The previous prime is 12706365059. The next prime is 12706365073. The reversal of 12706365061 is 16056360721.

It can be written as a sum of positive squares in 8 ways, for example, as 792100 + 12705572961 = 890^2 + 112719^2 .

It is not a de Polignac number, because 12706365061 - 21 = 12706365059 is a prime.

It is a super-2 number, since 2×127063650612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12706365061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706365041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160795 + ... + 226423.

It is an arithmetic number, because the mean of its divisors is an integer number (874486935).

Almost surely, 212706365061 is an apocalyptic number.

It is an amenable number.

12706365061 is a deficient number, since it is larger than the sum of its proper divisors (1285425899).

12706365061 is a wasteful number, since it uses less digits than its factorization.

12706365061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65976.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 12706365061 in words is "twelve billion, seven hundred six million, three hundred sixty-five thousand, sixty-one".

Divisors: 1 13 53 281 689 3653 14893 65629 193609 853177 3478337 18441749 45218381 239742737 977412697 12706365061