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12931176960 = 2936513241
BaseRepresentation
bin11000000101100001…
…00001101000000000
31020101012021212000000
430002300201220000
5202440340130320
65535052000000
7635306122242
oct140260415000
936335255000
1012931176960
115536348709
12260a760000
1312b1055b00
148a9572092
1550a3a9c90
hex302c21a00

12931176960 has 840 divisors, whose sum is σ = 51564098124. Its totient is φ = 3105423360.

The previous prime is 12931176949. The next prime is 12931177013. The reversal of 12931176960 is 6967113921.

It can be written as a sum of positive squares in 6 ways, for example, as 22581504 + 12908595456 = 4752^2 + 113616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 315394540 + ... + 315394580.

Almost surely, 212931176960 is an apocalyptic number.

12931176960 is a gapful number since it is divisible by the number (10) 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 12931176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25782049062).

12931176960 is an abundant number, since it is smaller than the sum of its proper divisors (38632921164).

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

12931176960 is an frugal number, since it uses more digits than its factorization.

12931176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12931176960 in words is "twelve billion, nine hundred thirty-one million, one hundred seventy-six thousand, nine hundred sixty".