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6716264110056 = 23321014597200909
BaseRepresentation
bin110000110111100000010…
…0010010101011111101000
3212210001211222211100022200
41201233000202111133220
51340014402103010211
622141224212420200
71262143166665164
oct141570042253750
925701758740280
106716264110056
11215a395aa7716
129057a7317660
133994581c5ba7
141930d7175ca4
15b9a8ad05b56
hex61bc08957e8

6716264110056 has 96 divisors (see below), whose sum is σ = 18374067340200. Its totient is φ = 2216095603200.

The previous prime is 6716264110013. The next prime is 6716264110091. The reversal of 6716264110056 is 6500114626176.

6716264110056 is a `hidden beast` number, since 6 + 7 + 1 + 626 + 4 + 1 + 10 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4800437180100 + 1915826929956 = 2190990^2 + 1384134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6716264109993 and 6716264110020.

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, 33328930 + ... + 33529838.

Almost surely, 26716264110056 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 6716264110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187033670100).

6716264110056 is an abundant number, since it is smaller than the sum of its proper divisors (11657803230144).

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

6716264110056 is a wasteful number, since it uses less digits than its factorization.

6716264110056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205619 (or 205612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6716264110056 in words is "six trillion, seven hundred sixteen billion, two hundred sixty-four million, one hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 4597 7272 9194 13791 18388 27582 36776 41373 55164 82746 110328 165492 200909 330984 401818 464297 602727 803636 928594 1205454 1392891 1607272 1808181 1857188 2410908 2785782 3616362 3714376 4178673 4821816 5571564 7232724 8357346 11143128 14465448 16714692 20291809 33429384 40583618 60875427 81167236 121750854 162334472 182626281 243501708 365252562 487003416 730505124 923578673 1461010248 1847157346 2770736019 3694314692 5541472038 7388629384 8312208057 11082944076 16624416114 22165888152 33248832228 66497664456 93281445973 186562891946 279844337919 373125783892 559688675838 746251567784 839533013757 1119377351676 1679066027514 2238754703352 3358132055028 6716264110056