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12939897106368 = 263623109110629
BaseRepresentation
bin1011110001001100110111…
…1110000110111111000000
31200211001010200022012000000
42330103031332012333000
53144001402124400433
643304301235000000
72503606466420301
oct274231576067700
950731120265000
1012939897106368
114139863635181
12154ba09439000
1372b2c4b1362b
1432a419a2a7a8
151768e2dac113
hexbc4cdf86fc0

12939897106368 has 392 divisors, whose sum is σ = 40541584855200. Its totient is φ = 4087876294656.

The previous prime is 12939897106327. The next prime is 12939897106379. The reversal of 12939897106368 is 86360179893921.

12939897106368 is a `hidden beast` number, since 1 + 2 + 93 + 98 + 97 + 1 + 0 + 6 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12939897106296 and 12939897106305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 116911278 + ... + 117021906.

Almost surely, 212939897106368 is an apocalyptic number.

12939897106368 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 12939897106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270792427600).

12939897106368 is an abundant number, since it is smaller than the sum of its proper divisors (27601687748832).

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

12939897106368 is a wasteful number, since it uses less digits than its factorization.

12939897106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110791 (or 110766 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 12939897106368 in words is "twelve trillion, nine hundred thirty-nine billion, eight hundred ninety-seven million, one hundred six thousand, three hundred sixty-eight".