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816685056 = 21332111953
BaseRepresentation
bin110000101011011…
…010000000000000
32002220201220021200
4300223122000000
53133032410211
6213012221200
726144464665
oct6053320000
92086656250
10816685056
11389aa7630
121a960a800
131002754c5
147a66da6c
154ba70b56
hex30ada000

816685056 has 336 divisors, whose sum is σ = 2760207840. Its totient is φ = 230031360.

The previous prime is 816685033. The next prime is 816685069. The reversal of 816685056 is 650586618.

816685056 is a `hidden beast` number, since 81 + 6 + 68 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15409126 + ... + 15409178.

Almost surely, 2816685056 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 816685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380103920).

816685056 is an abundant number, since it is smaller than the sum of its proper divisors (1943522784).

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

816685056 is a wasteful number, since it uses less digits than its factorization.

816685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 816685056 is about 28577.7020769690. The cubic root of 816685056 is about 934.7271763510.

The spelling of 816685056 in words is "eight hundred sixteen million, six hundred eighty-five thousand, fifty-six".