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12896053473600 = 26325211172416871
BaseRepresentation
bin1011101110101001100010…
…1011111011000101000000
31200122211222010202212120100
42323222120223323011000
53142242104142123400
643232210513442400
72500465140612123
oct273523053730500
950584863685510
1012896053473600
114122204a93a30
121543412270400
1372712865a76b
1432825abb03ba
151756c8c3b100
hexbba98afb140

12896053473600 has 1512 divisors, whose sum is σ = 54420287253696. Its totient is φ = 2870231040000.

The previous prime is 12896053473587. The next prime is 12896053473607. The reversal of 12896053473600 is 637435069821.

12896053473600 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 60 + 53 + 473 + 60 + 0 = 666.

12896053473600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896053473607) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1876878165 + ... + 1876885035.

It is a 1-persistent number, because it is pandigital, but 2⋅12896053473600 = 25792106947200 is not.

Almost surely, 212896053473600 is an apocalyptic number.

12896053473600 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 12896053473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210143626848).

12896053473600 is an abundant number, since it is smaller than the sum of its proper divisors (41524233780096).

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

12896053473600 is a wasteful number, since it uses less digits than its factorization.

12896053473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12896053473600 in words is "twelve trillion, eight hundred ninety-six billion, fifty-three million, four hundred seventy-three thousand, six hundred".