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13718657537 = 1311312497477
BaseRepresentation
bin11001100011011001…
…00001101000000001
31022102002002000021022
430301230201220001
5211043434020122
610145142235225
7663650444054
oct146154415001
938362060238
1013718657537
1158aa908502
1227aa425b15
1313a8244450
14941d9ca9b
155545ac642
hex331b21a01

13718657537 has 16 divisors (see below), whose sum is σ = 14918610000. Its totient is φ = 12539584512.

The previous prime is 13718657531. The next prime is 13718657591. The reversal of 13718657537 is 73575681731.

It can be written as a sum of positive squares in 8 ways, for example, as 1037870656 + 12680786881 = 32216^2 + 112609^2 .

It is not a de Polignac number, because 13718657537 - 26 = 13718657473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13718657531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831043 + ... + 1838519.

It is an arithmetic number, because the mean of its divisors is an integer number (932413125).

Almost surely, 213718657537 is an apocalyptic number.

It is an amenable number.

13718657537 is a deficient number, since it is larger than the sum of its proper divisors (1199952463).

13718657537 is a wasteful number, since it uses less digits than its factorization.

13718657537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852.

The product of its digits is 3704400, while the sum is 53.

The spelling of 13718657537 in words is "thirteen billion, seven hundred eighteen million, six hundred fifty-seven thousand, five hundred thirty-seven".

Divisors: 1 13 113 1249 1469 7477 16237 97201 141137 844901 1834781 9338773 10983713 121404049 1055281349 13718657537