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12956813585 = 51728966653
BaseRepresentation
bin11000001000100100…
…10100100100010001
31020102222112022211122
430010102110210101
5203013421013320
65541405252025
7636040045502
oct140422244421
936388468748
1012956813585
115549868901
122617264015
1312b6460a01
148acb26ba9
1550c770d25
hex304494911

12956813585 has 12 divisors (see below), whose sum is σ = 16516576668. Its totient is φ = 9755717376.

The previous prime is 12956813579. The next prime is 12956813603. The reversal of 12956813585 is 58531865921.

It is a Cunningham number, because it is equal to 1138282+1.

It can be written as a sum of positive squares in 6 ways, for example, as 1 + 12956813584 = 1^2 + 113828^2 .

It is a de Polignac number, because none of the positive numbers 2k-12956813585 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4481882 + ... + 4484771.

It is an arithmetic number, because the mean of its divisors is an integer number (1376381389).

Almost surely, 212956813585 is an apocalyptic number.

It is an amenable number.

12956813585 is a deficient number, since it is larger than the sum of its proper divisors (3559763083).

12956813585 is an equidigital number, since it uses as much as digits as its factorization.

12956813585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966692 (or 8966675 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 53.

The spelling of 12956813585 in words is "twelve billion, nine hundred fifty-six million, eight hundred thirteen thousand, five hundred eighty-five".

Divisors: 1 5 17 85 289 1445 8966653 44833265 152433101 762165505 2591362717 12956813585