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13664513135 = 5721311337967
BaseRepresentation
bin11001011100111011…
…11110110001101111
31022021022012012010002
430232131332301233
5210441103410020
610135525534515
7662422305500
oct145635766157
938238165102
1013664513135
115882296a69
12279427443b
131399c67840
14938b06ba7
1554e964975
hex32e77ec6f

13664513135 has 48 divisors (see below), whose sum is σ = 20724149376. Its totient is φ = 8572419072.

The previous prime is 13664513131. The next prime is 13664513143. The reversal of 13664513135 is 53131546631.

It is not a de Polignac number, because 13664513135 - 22 = 13664513131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664513131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340922 + ... + 378888.

It is an arithmetic number, because the mean of its divisors is an integer number (431753112).

Almost surely, 213664513135 is an apocalyptic number.

13664513135 is a deficient number, since it is larger than the sum of its proper divisors (7059636241).

13664513135 is a wasteful number, since it uses less digits than its factorization.

13664513135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38112 (or 38105 counting only the distinct ones).

The product of its digits is 97200, while the sum is 38.

The spelling of 13664513135 in words is "thirteen billion, six hundred sixty-four million, five hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 5 7 13 35 49 65 91 113 245 455 565 637 791 1469 3185 3955 5537 7345 10283 27685 37967 51415 71981 189835 265769 359905 493571 1328845 1860383 2467855 3454997 4290271 9301915 17274985 21451355 24184979 30031897 55773523 120924895 150159485 210223279 278867615 390414661 1051116395 1952073305 2732902627 13664513135