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56697978986496 = 213341922341251
BaseRepresentation
bin11001110010001000001101…
…11001011010000000000000
321102202021101122022002110000
430321010012321122000000
524412414430110031441
6320330405244240000
714641202526424221
oct1471040671320000
9242667348262400
1056697978986496
111707a52902a841
126438546540000
13258379a5c8b13
1410002a8133248
15684ca053b2b6
hex339106e5a000

56697978986496 has 1680 divisors, whose sum is σ = 191851345844928. Its totient is φ = 16641884160000.

The previous prime is 56697978986491. The next prime is 56697978986497. The reversal of 56697978986496 is 69468987979665.

It is a junction number, because it is equal to n+sod(n) for n = 56697978986397 and 56697978986406.

It is not an unprimeable number, because it can be changed into a prime (56697978986491) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 225888362371 + ... + 225888362621.

Almost surely, 256697978986496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56697978986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95925672922464).

56697978986496 is an abundant number, since it is smaller than the sum of its proper divisors (135153366858432).

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

56697978986496 is a wasteful number, since it uses less digits than its factorization.

56697978986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 339 counting only the distinct ones).

The product of its digits is 533311672320, while the sum is 99.

The spelling of 56697978986496 in words is "fifty-six trillion, six hundred ninety-seven billion, nine hundred seventy-eight million, nine hundred eighty-six thousand, four hundred ninety-six".