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12908560896 = 293371167181
BaseRepresentation
bin11000000010110100…
…10000001000000000
31020022121201211121000
430001122100020000
5202414042422041
65532523132000
7634612646220
oct140132201000
936277654530
1012908560896
115524600950
122603074000
1312a9467a1a
148a6566080
155083ddbb6
hex301690200

12908560896 has 640 divisors, whose sum is σ = 48616888320. Its totient is φ = 3284582400.

The previous prime is 12908560867. The next prime is 12908560919. The reversal of 12908560896 is 69806580921.

It is a happy number.

12908560896 is a `hidden beast` number, since 1 + 29 + 0 + 8 + 5 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 71317926 + ... + 71318106.

It is an arithmetic number, because the mean of its divisors is an integer number (75963888).

Almost surely, 212908560896 is an apocalyptic number.

12908560896 is a gapful number since it is divisible by the number (16) 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 12908560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308444160).

12908560896 is an abundant number, since it is smaller than the sum of its proper divisors (35708327424).

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

12908560896 is a wasteful number, since it uses less digits than its factorization.

12908560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 129085 and 60896, that added together give a palindrome (189981).

The spelling of 12908560896 in words is "twelve billion, nine hundred eight million, five hundred sixty thousand, eight hundred ninety-six".