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12568863805668 = 22337311376118539
BaseRepresentation
bin1011011011100110101010…
…1010011001000011100100
31122111120102201200121022000
42312321222222121003210
53121412013113240133
642422020055405300
72435033106410532
oct266715252310344
948446381617260
1012568863805668
114006474a48795
1214abb1b083830
13702314770a61
1431649c977152
1516be2952e413
hexb6e6aa990e4

12568863805668 has 192 divisors, whose sum is σ = 33370237958400. Its totient is φ = 4090058219520.

The previous prime is 12568863805651. The next prime is 12568863805669. The reversal of 12568863805668 is 86650836886521.

It is a happy number.

12568863805668 is a `hidden beast` number, since 1 + 2 + 5 + 68 + 86 + 380 + 56 + 68 = 666.

12568863805668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12568863805596 and 12568863805605.

It is not an unprimeable number, because it can be changed into a prime (12568863805669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677959543 + ... + 677978081.

It is an arithmetic number, because the mean of its divisors is an integer number (173803322700).

Almost surely, 212568863805668 is an apocalyptic number.

12568863805668 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 12568863805668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685118979200).

12568863805668 is an abundant number, since it is smaller than the sum of its proper divisors (20801374152732).

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

12568863805668 is a wasteful number, since it uses less digits than its factorization.

12568863805668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19499 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 12568863805668 in words is "twelve trillion, five hundred sixty-eight billion, eight hundred sixty-three million, eight hundred five thousand, six hundred sixty-eight".