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12956687744 = 2771121329317
BaseRepresentation
bin11000001000100011…
…10101110110000000
31020102222021221012212
430010101311312000
5203013403001434
65541402441252
7636036012560
oct140421656600
936388257185
1012956687744
115549792300
122617203228
1312b6418650
148acad2da0
1550c7488ce
hex304475d80

12956687744 has 384 divisors, whose sum is σ = 36237499200. Its totient is φ = 4484874240.

The previous prime is 12956687719. The next prime is 12956687827. The reversal of 12956687744 is 44778665921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40872674 + ... + 40872990.

Almost surely, 212956687744 is an apocalyptic number.

12956687744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12956687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118749600).

12956687744 is an abundant number, since it is smaller than the sum of its proper divisors (23280811456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12956687744 is a wasteful number, since it uses less digits than its factorization.

12956687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 379 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 59.

The spelling of 12956687744 in words is "twelve billion, nine hundred fifty-six million, six hundred eighty-seven thousand, seven hundred forty-four".