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12944268907176 = 233192397107118913
BaseRepresentation
bin1011110001011101001010…
…0011001101001010101000
31200211110102100121200021110
42330113102203031022220
53144034330320012201
643310303125510320
72504123023210245
oct274272243151250
950743370550243
1012944268907176
1141406a73838a2
1215508295723a0
1372b840782209
1432a7124c45cc
15176a9bac56d6
hexbc5d28cd2a8

12944268907176 has 256 divisors, whose sum is σ = 36247270348800. Its totient is φ = 3833433686016.

The previous prime is 12944268907133. The next prime is 12944268907181. The reversal of 12944268907176 is 67170986244921.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108795496 + ... + 108914408.

It is an arithmetic number, because the mean of its divisors is an integer number (141590899800).

Almost surely, 212944268907176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12944268907176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123635174400).

12944268907176 is an abundant number, since it is smaller than the sum of its proper divisors (23303001441624).

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

12944268907176 is a wasteful number, since it uses less digits than its factorization.

12944268907176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119168 (or 119164 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 12944268907176 in words is "twelve trillion, nine hundred forty-four billion, two hundred sixty-eight million, nine hundred seven thousand, one hundred seventy-six".