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12956879880 = 233457389131
BaseRepresentation
bin11000001000100101…
…00100110000001000
31020102222122200210000
430010102210300020
5203013430124010
65541410523000
7636040443000
oct140422446010
936388580700
1012956879880
11554990369a
122617296460
1312b6484c39
148acb43000
1550c7857c0
hex3044a4c08

12956879880 has 640 divisors, whose sum is σ = 51749280000. Its totient is φ = 2905943040.

The previous prime is 12956879861. The next prime is 12956879899. The reversal of 12956879880 is 8897865921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12956879861) and next prime (12956879899).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98907415 + ... + 98907545.

It is an arithmetic number, because the mean of its divisors is an integer number (80858250).

Almost surely, 212956879880 is an apocalyptic number.

12956879880 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 12956879880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25874640000).

12956879880 is an abundant number, since it is smaller than the sum of its proper divisors (38792400120).

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

12956879880 is a wasteful number, since it uses less digits than its factorization.

12956879880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 12956879880 in words is "twelve billion, nine hundred fifty-six million, eight hundred seventy-nine thousand, eight hundred eighty".