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10609781931 = 327374551601
BaseRepresentation
bin10011110000110010…
…00110110010101011
31000101102011202200100
421320121012302223
5133212101010211
64512444240443
7523630441560
oct117031066253
930342152610
1010609781931
114554a44221
122081240123
13100112c598
14729134867
154216ae156
hex278646cab

10609781931 has 24 divisors (see below), whose sum is σ = 17987931104. Its totient is φ = 5898873600.

The previous prime is 10609781891. The next prime is 10609781933. The reversal of 10609781931 is 13918790601.

10609781931 is a `hidden beast` number, since 1 + 0 + 609 + 7 + 8 + 1 + 9 + 31 = 666.

10609781931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10609781931 - 29 = 10609781419 is a prime.

It is a super-2 number, since 2×106097819312 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10609781933) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2273470 + ... + 2278131.

Almost surely, 210609781931 is an apocalyptic number.

10609781931 is a deficient number, since it is larger than the sum of its proper divisors (7378149173).

10609781931 is a wasteful number, since it uses less digits than its factorization.

10609781931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551651 (or 4551648 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10609781931 in words is "ten billion, six hundred nine million, seven hundred eighty-one thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 4551601 13654803 31861207 40964409 95583621 168409237 286750863 505227711 1178864659 1515683133 3536593977 10609781931