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12759959808 = 283419139233
BaseRepresentation
bin10111110001000110…
…11000100100000000
31012221021010010020000
423320203120210000
5202113022203213
65510054120000
7631126604001
oct137043304400
935837103200
1012759959808
115458734732
122581350000
13128473879b
148909231a8
154ea338c73
hex2f88d8900

12759959808 has 360 divisors, whose sum is σ = 40511671200. Its totient is φ = 3983302656.

The previous prime is 12759959791. The next prime is 12759959819. The reversal of 12759959808 is 80895995721.

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 39 ways as a sum of consecutive naturals, for example, 54763660 + ... + 54763892.

It is an arithmetic number, because the mean of its divisors is an integer number (112532420).

Almost surely, 212759959808 is an apocalyptic number.

12759959808 is a gapful number since it is divisible by the number (18) 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 12759959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255835600).

12759959808 is an abundant number, since it is smaller than the sum of its proper divisors (27751711392).

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

12759959808 is a wasteful number, since it uses less digits than its factorization.

12759959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 12759959808 in words is "twelve billion, seven hundred fifty-nine million, nine hundred fifty-nine thousand, eight hundred eight".