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13864502613 = 3132291376883
BaseRepresentation
bin11001110100110001…
…11000010101010101
31022210020111201002210
430322120320111111
5211343303040423
610211432224033
71000401220263
oct147230702525
938706451083
1013864502613
115975172025
12282b23b019
1313cc51a100
149574c5433
155622bab93
hex33a638555

13864502613 has 48 divisors (see below), whose sum is σ = 20861824320. Its totient is φ = 8176476672.

The previous prime is 13864502611. The next prime is 13864502621. The reversal of 13864502613 is 31620546831.

13864502613 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 13864502613 - 21 = 13864502611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13864502611) 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 47 ways as a sum of consecutive naturals, for example, 2010870 + ... + 2017752.

It is an arithmetic number, because the mean of its divisors is an integer number (434621340).

Almost surely, 213864502613 is an apocalyptic number.

13864502613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13864502613 is a deficient number, since it is larger than the sum of its proper divisors (6997321707).

13864502613 is a wasteful number, since it uses less digits than its factorization.

13864502613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13864502613 in words is "thirteen billion, eight hundred sixty-four million, five hundred two thousand, six hundred thirteen".

Divisors: 1 3 13 29 39 87 137 169 377 411 507 1131 1781 3973 4901 5343 6883 11919 14703 20649 23153 51649 69459 89479 154947 199607 268437 598821 671437 942971 1163227 2014311 2594891 2828913 3489681 7784673 12258623 27346159 33733583 36775869 82038477 101200749 159362099 355500067 478086297 1066500201 4621500871 13864502613