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12963009920 = 275719672273
BaseRepresentation
bin11000001001010011…
…11101010110000000
31020110102012010121112
430010221331112000
5203022012304140
65542150142452
7636143523560
oct140451752600
936412163545
1012963009920
115552310243
122619351a28
1312b7820193
148ad89ada0
1550d096c65
hex304a7d580

12963009920 has 256 divisors, whose sum is σ = 37853913600. Its totient is φ = 4145872896.

The previous prime is 12963009911. The next prime is 12963009953. The reversal of 12963009920 is 2990036921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5701904 + ... + 5704176.

It is an arithmetic number, because the mean of its divisors is an integer number (147866850).

Almost surely, 212963009920 is an apocalyptic number.

12963009920 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 12963009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926956800).

12963009920 is an abundant number, since it is smaller than the sum of its proper divisors (24890903680).

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

12963009920 is a wasteful number, since it uses less digits than its factorization.

12963009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 12963009920 in words is "twelve billion, nine hundred sixty-three million, nine thousand, nine hundred twenty".