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13536379753 = 1313916014679
BaseRepresentation
bin11001001101101010…
…01100001101101001
31021221101002100011021
430212311030031221
5210210303123003
610115111332441
7656305221001
oct144665141551
937841070137
1013536379753
115816a2a506
122759381121
131379553880
14925ab1001
155435a42bd
hex326d4c369

13536379753 has 16 divisors (see below), whose sum is σ = 14694825600. Its totient is φ = 12394828800.

The previous prime is 13536379739. The next prime is 13536379757. The reversal of 13536379753 is 35797363531.

It is a happy number.

13536379753 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 a de Polignac number, because none of the positive numbers 2k-13536379753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13536379753.

It is not an unprimeable number, because it can be changed into a prime (13536379757) 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, 2890668 + ... + 2895346.

It is an arithmetic number, because the mean of its divisors is an integer number (918426600).

Almost surely, 213536379753 is an apocalyptic number.

13536379753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13536379753 is a deficient number, since it is larger than the sum of its proper divisors (1158445847).

13536379753 is a wasteful number, since it uses less digits than its factorization.

13536379753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432.

The product of its digits is 5358150, while the sum is 52.

The spelling of 13536379753 in words is "thirteen billion, five hundred thirty-six million, three hundred seventy-nine thousand, seven hundred fifty-three".

Divisors: 1 13 139 1601 1807 4679 20813 60827 222539 650381 2893007 7491079 8454953 97384027 1041259981 13536379753