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10653964431 = 311417874327
BaseRepresentation
bin10011110110000011…
…01001100010001111
31000111111022110200020
421323001221202033
5133304403330211
64521103233223
7525005126535
oct117301514217
930444273606
1010653964431
114577981190
122093ba8813
13100a32ba86
14730d56155
154254da306
hex27b06988f

10653964431 has 16 divisors (see below), whose sum is σ = 15874645248. Its totient is φ = 6299460800.

The previous prime is 10653964417. The next prime is 10653964439. The reversal of 10653964431 is 13446935601.

It is a happy number.

10653964431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10653964431 - 221 = 10651867279 is a prime.

It is a super-2 number, since 2×106539644312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653964439) 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 15 ways as a sum of consecutive naturals, for example, 3935811 + ... + 3938516.

It is an arithmetic number, because the mean of its divisors is an integer number (992165328).

Almost surely, 210653964431 is an apocalyptic number.

10653964431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10653964431 is a deficient number, since it is larger than the sum of its proper divisors (5220680817).

10653964431 is a wasteful number, since it uses less digits than its factorization.

10653964431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874382.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10653964431 in words is "ten billion, six hundred fifty-three million, nine hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 41 123 451 1353 7874327 23622981 86617597 259852791 322847407 968542221 3551321477 10653964431