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9982365768 = 2332197297051
BaseRepresentation
bin10010100101111111…
…01101000001001000
3221202200120201111200
421102333231001020
5130420441201033
64330312424200
7502241465124
oct112277550110
927680521450
109982365768
114262870171
121b270a8060
13c31154b0b
146a9a92584
153d6578013
hex252fed048

9982365768 has 48 divisors (see below), whose sum is σ = 28458502800. Its totient is φ = 3152325600.

The previous prime is 9982365709. The next prime is 9982365781. The reversal of 9982365768 is 8675632899.

It is a super-2 number, since 2×99823657682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3647158 + ... + 3649893.

It is an arithmetic number, because the mean of its divisors is an integer number (592885475).

Almost surely, 29982365768 is an apocalyptic number.

It is an amenable number.

9982365768 is an abundant number, since it is smaller than the sum of its proper divisors (18476137032).

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

9982365768 is a wasteful number, since it uses less digits than its factorization.

9982365768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297082 (or 7297075 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 9982365768 is about 99911.7899349221. The cubic root of 9982365768 is about 2153.1675515342.

It can be divided in two parts, 998236 and 5768, that added together give a square (1004004 = 10022).

The spelling of 9982365768 in words is "nine billion, nine hundred eighty-two million, three hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 7297051 14594102 21891153 29188204 43782306 58376408 65673459 87564612 131346918 138643969 175129224 262693836 277287938 415931907 525387672 554575876 831863814 1109151752 1247795721 1663727628 2495591442 3327455256 4991182884 9982365768