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13137453756 = 22327105149603
BaseRepresentation
bin11000011110000110…
…11010001010111100
31020220120102210120100
430033003122022330
5203401142010011
610011341121100
7643362341310
oct141703321274
936816383510
1013137453756
1156318284a9
122667859190
1313149ca09b
148c8b09b40
1551d553d56
hex30f0da2bc

13137453756 has 72 divisors (see below), whose sum is σ = 37989521024. Its totient is φ = 3749911200.

The previous prime is 13137453691. The next prime is 13137453767. The reversal of 13137453756 is 65735473131.

13137453756 is a `hidden beast` number, since 1 + 31 + 37 + 4 + 537 + 56 = 666.

13137453756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 240051 + ... + 289653.

Almost surely, 213137453756 is an apocalyptic number.

It is an amenable number.

13137453756 is an abundant number, since it is smaller than the sum of its proper divisors (24852067268).

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

13137453756 is a wasteful number, since it uses less digits than its factorization.

13137453756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50671 (or 50666 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The spelling of 13137453756 in words is "thirteen billion, one hundred thirty-seven million, four hundred fifty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1051 2102 3153 4204 6306 7357 9459 12612 14714 18918 22071 29428 37836 44142 49603 66213 88284 99206 132426 148809 198412 264852 297618 347221 446427 595236 694442 892854 1041663 1388884 1785708 2083326 3124989 4166652 6249978 12499956 52132753 104265506 156398259 208531012 312796518 364929271 469194777 625593036 729858542 938389554 1094787813 1459717084 1876779108 2189575626 3284363439 4379151252 6568726878 13137453756