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12930891190308 = 2232713313710973137
BaseRepresentation
bin1011110000101011010100…
…1011010001000000100100
31200210011220001002020200100
42330022311023101000210
53143324431121042213
643300211442544100
72503140352406250
oct274126513210044
950704801066610
1012930891190308
114135a61a73143
12154a115368030
1372a4bb071610
14329c03915260
15176567412773
hexbc2b52d1024

12930891190308 has 576 divisors, whose sum is σ = 42702005219328. Its totient is φ = 3207185694720.

The previous prime is 12930891190291. The next prime is 12930891190331. The reversal of 12930891190308 is 80309119803921.

12930891190308 is a `hidden beast` number, since 1 + 29 + 308 + 9 + 1 + 1 + 9 + 0 + 308 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4122054916 + ... + 4122058052.

It is an arithmetic number, because the mean of its divisors is an integer number (74135425728).

Almost surely, 212930891190308 is an apocalyptic number.

12930891190308 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 12930891190308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351002609664).

12930891190308 is an abundant number, since it is smaller than the sum of its proper divisors (29771114029020).

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

12930891190308 is a wasteful number, since it uses less digits than its factorization.

12930891190308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 12930891190308 in words is "twelve trillion, nine hundred thirty billion, eight hundred ninety-one million, one hundred ninety thousand, three hundred eight".