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13318071507 = 3213176695863
BaseRepresentation
bin11000110011101000…
…11010010011010011
31021101011022010112200
430121310122103103
5204233411242012
610041312254243
7651014511546
oct143164322323
937334263480
1013318071507
115714782274
1226b8241383
1313432591b0
14904ac485d
1552e3303dc
hex319d1a4d3

13318071507 has 24 divisors (see below), whose sum is σ = 21935650464. Its totient is φ = 7713633024.

The previous prime is 13318071497. The next prime is 13318071539. The reversal of 13318071507 is 70517081331.

It is a happy number.

13318071507 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 80 + 71 + 507 = 666.

13318071507 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 13318071507 - 28 = 13318071251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13318071577) 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, 3345943 + ... + 3349920.

It is an arithmetic number, because the mean of its divisors is an integer number (913985436).

Almost surely, 213318071507 is an apocalyptic number.

13318071507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13318071507 is a deficient number, since it is larger than the sum of its proper divisors (8617578957).

13318071507 is a wasteful number, since it uses less digits than its factorization.

13318071507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695899 (or 6695896 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 13318071507 in words is "thirteen billion, three hundred eighteen million, seventy-one thousand, five hundred seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 6695863 20087589 60262767 87046219 113829671 261138657 341489013 783415971 1024467039 1479785723 4439357169 13318071507