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13133968593 = 3791013131753
BaseRepresentation
bin11000011101101100…
…00111010011010001
31020220022212201211020
430032312013103101
5203344243443333
610011134310053
7643320614424
oct141666072321
936808781736
1013133968593
11562a867aa9
122666658329
131314079965
148c847d9bb
1551d0b63b3
hex30ed874d1

13133968593 has 32 divisors (see below), whose sum is σ = 17976675840. Its totient is φ = 8527334400.

The previous prime is 13133968559. The next prime is 13133968759. The reversal of 13133968593 is 39586933131.

13133968593 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 13133968593 - 212 = 13133964497 is a prime.

It is a super-2 number, since 2×131339685932 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13133968513) 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 31 ways as a sum of consecutive naturals, for example, 7491405 + ... + 7493157.

It is an arithmetic number, because the mean of its divisors is an integer number (561771120).

Almost surely, 213133968593 is an apocalyptic number.

It is an amenable number.

13133968593 is a deficient number, since it is larger than the sum of its proper divisors (4842707247).

13133968593 is a wasteful number, since it uses less digits than its factorization.

13133968593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249.

The product of its digits is 1574640, while the sum is 51.

The spelling of 13133968593 in words is "thirteen billion, one hundred thirty-three million, nine hundred sixty-eight thousand, five hundred ninety-three".

Divisors: 1 3 79 101 237 303 313 939 1753 5259 7979 23937 24727 31613 74181 94839 138487 177053 415461 531159 548689 1646067 2497427 7492281 13987187 41961561 43346431 55417589 130039293 166252767 4377989531 13133968593