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12653601561 = 321405955729
BaseRepresentation
bin10111100100011011…
…01010001100011001
31012122211222120010200
423302031222030121
5201403310222221
65451334332413
7625365560436
oct136215521431
935584876120
1012653601561
1154036a0157
1225517ba109
1312686a9c03
14880758b8d
154e0d2a426
hex2f236a319

12653601561 has 6 divisors (see below), whose sum is σ = 18277424490. Its totient is φ = 8435734368.

The previous prime is 12653601553. The next prime is 12653601577. The reversal of 12653601561 is 16510635621.

12653601561 is a `hidden beast` number, since 1 + 2 + 65 + 36 + 0 + 1 + 561 = 666.

12653601561 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 only one way, i.e., 11390225625 + 1263375936 = 106725^2 + 35544^2 .

It is not a de Polignac number, because 12653601561 - 23 = 12653601553 is a prime.

It is a super-2 number, since 2×126536015612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12653601061) 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 5 ways as a sum of consecutive naturals, for example, 702977856 + ... + 702977873.

It is an arithmetic number, because the mean of its divisors is an integer number (3046237415).

Almost surely, 212653601561 is an apocalyptic number.

It is an amenable number.

12653601561 is a deficient number, since it is larger than the sum of its proper divisors (5623822929).

12653601561 is a wasteful number, since it uses less digits than its factorization.

12653601561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405955735 (or 1405955732 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12653601561 in words is "twelve billion, six hundred fifty-three million, six hundred one thousand, five hundred sixty-one".

Divisors: 1 3 9 1405955729 4217867187 12653601561