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10082052408 = 233451793001
BaseRepresentation
bin10010110001110111…
…11110100100111000
3222000122011022212110
421120323332210320
5131122001134113
64344233212320
7504562013541
oct113073764470
928018138773
1010082052408
11430406821a
121b545610a0
13c489b8aac
146b90014c8
153e01b9bc3
hex258efe938

10082052408 has 32 divisors (see below), whose sum is σ = 25210982160. Its totient is φ = 3359904000.

The previous prime is 10082052361. The next prime is 10082052427. The reversal of 10082052408 is 80425028001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61908 + ... + 154908.

Almost surely, 210082052408 is an apocalyptic number.

It is an amenable number.

10082052408 is an abundant number, since it is smaller than the sum of its proper divisors (15128929752).

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

10082052408 is a wasteful number, since it uses less digits than its factorization.

10082052408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97527 (or 97523 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 10082052408 in words is "ten billion, eighty-two million, fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 4517 9034 13551 18068 27102 36136 54204 93001 108408 186002 279003 372004 558006 744008 1116012 2232024 420085517 840171034 1260256551 1680342068 2520513102 3360684136 5041026204 10082052408