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13635131124664 = 2372101344391067
BaseRepresentation
bin1100011001101010110100…
…1001011010101110111000
31210021111122201202121221001
43012122231021122232320
53241344222031442124
644555520500454344
72605051155156400
oct306325511325670
953244581677831
1013635131124664
114387699064215
1216426b59aa3b4
1377ba30a59c4a
14351d2dd89800
15189a33836b44
hexc66ad25abb8

13635131124664 has 48 divisors (see below), whose sum is σ = 30034345040280. Its totient is φ = 5785769908800.

The previous prime is 13635131124649. The next prime is 13635131124683. The reversal of 13635131124664 is 46642113153631.

It is a super-2 number, since 2×136351311246642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 172155942 + ... + 172235125.

Almost surely, 213635131124664 is an apocalyptic number.

13635131124664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13635131124664 is an abundant number, since it is smaller than the sum of its proper divisors (16399213915616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13635131124664 is a wasteful number, since it uses less digits than its factorization.

13635131124664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344391188 (or 344391177 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 13635131124664 in words is "thirteen trillion, six hundred thirty-five billion, one hundred thirty-one million, one hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 4949 5656 9898 19796 39592 344391067 688782134 1377564268 2410737469 2755128536 4821474938 9642949876 16875162283 19285899752 33750324566 34783497767 67500649132 69566995534 135001298264 139133991068 243484484369 278267982136 486968968738 973937937476 1704391390583 1947875874952 3408782781166 6817565562332 13635131124664