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12686047569 = 3213108427757
BaseRepresentation
bin10111101000010010…
…11011100101010001
31012202010000222200200
423310021123211101
5201440112010234
65454454005413
7626241424266
oct136411334521
935663028620
1012686047569
11541aa41338
122560646869
13127232a330
14884ba326d
154e3ad8d99
hex2f425b951

12686047569 has 12 divisors (see below), whose sum is σ = 19733851956. Its totient is φ = 7806798432.

The previous prime is 12686047553. The next prime is 12686047597. The reversal of 12686047569 is 96574068621.

12686047569 is a `hidden beast` number, since 1 + 26 + 8 + 604 + 7 + 5 + 6 + 9 = 666.

12686047569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7840217025 + 4845830544 = 88545^2 + 69612^2 .

It is not a de Polignac number, because 12686047569 - 24 = 12686047553 is a prime.

It is a super-2 number, since 2×126860475692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12686047169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54213762 + ... + 54213995.

It is an arithmetic number, because the mean of its divisors is an integer number (1644487663).

Almost surely, 212686047569 is an apocalyptic number.

It is an amenable number.

12686047569 is a deficient number, since it is larger than the sum of its proper divisors (7047804387).

12686047569 is a wasteful number, since it uses less digits than its factorization.

12686047569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108427776 (or 108427773 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12686047569 in words is "twelve billion, six hundred eighty-six million, forty-seven thousand, five hundred sixty-nine".

Divisors: 1 3 9 13 39 117 108427757 325283271 975849813 1409560841 4228682523 12686047569