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10009643931 = 34743410551
BaseRepresentation
bin10010101001001111…
…10000101110011011
3221211120220121010000
421110213300232123
5130444432101211
64333125224043
7503022366240
oct112447605633
927746817100
1010009643931
114277201701
121b34262023
13c369b5c41
146ad5535c7
153d8b65656
hex2549f0b9b

10009643931 has 40 divisors (see below), whose sum is σ = 17486230784. Its totient is φ = 5586764400.

The previous prime is 10009643923. The next prime is 10009643933. The reversal of 10009643931 is 13934690001.

10009643931 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 643 + 9 + 3 + 1 = 666.

10009643931 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10009643931 - 23 = 10009643923 is a prime.

It is a super-2 number, since 2×100096439312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10009643933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180895 + ... + 229656.

Almost surely, 210009643931 is an apocalyptic number.

10009643931 is a deficient number, since it is larger than the sum of its proper divisors (7476586853).

10009643931 is an equidigital number, since it uses as much as digits as its factorization.

10009643931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410613 (or 410604 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 10009643931 in words is "ten billion, nine million, six hundred forty-three thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 903 1161 2709 3483 8127 24381 410551 1231653 2873857 3694959 8621571 11084877 17653693 25864713 33254631 52961079 77594139 123575851 158883237 232782417 370727553 476649711 1112182659 1429949133 3336547977 10009643931