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10640635416 = 233349262201
BaseRepresentation
bin10011110100011101…
…10011011000011000
31000110120020021201000
421322032303120120
5133243000313131
64515505425000
7524453623455
oct117216633030
930416207630
1010640635416
1145703a7974
12208b63b160
131007642b98
1472d28682c
15424255ce6
hex27a3b3618

10640635416 has 32 divisors (see below), whose sum is σ = 29557321200. Its totient is φ = 3546878400.

The previous prime is 10640635387. The next prime is 10640635433. The reversal of 10640635416 is 61453604601.

It is a happy number.

10640635416 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 635 + 4 + 16 = 666.

10640635416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106406354162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24630885 + ... + 24631316.

Almost surely, 210640635416 is an apocalyptic number.

It is an amenable number.

10640635416 is an abundant number, since it is smaller than the sum of its proper divisors (18916685784).

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

10640635416 is a wasteful number, since it uses less digits than its factorization.

10640635416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49262216 (or 49262206 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10640635416 in words is "ten billion, six hundred forty million, six hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 49262201 98524402 147786603 197048804 295573206 394097608 443359809 591146412 886719618 1182292824 1330079427 1773439236 2660158854 3546878472 5320317708 10640635416