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12534593764 = 22721127272
BaseRepresentation
bin10111010110001111…
…01011100011100100
31012100120001100010111
423223013223203210
5201132324000024
65431443502404
7622422201100
oct135307534344
935316040114
1012534593764
1153524a6900
122519987a04
131249b3c7b4
1486ca1a900
154d566da94
hex2eb1eb8e4

12534593764 has 81 divisors (see below), whose sum is σ = 28086081219. Its totient is φ = 4876890480.

The previous prime is 12534593741. The next prime is 12534593791. The reversal of 12534593764 is 46739543521.

The square root of 12534593764 is 111958.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17241169 + ... + 17241895.

Almost surely, 212534593764 is an apocalyptic number.

12534593764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12534593764 is the 111958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12534593764

12534593764 is an abundant number, since it is smaller than the sum of its proper divisors (15551487455).

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

12534593764 is an equidigital number, since it uses as much as digits as its factorization.

12534593764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

Multiplying 12534593764 by its sum of digits (49), we get a square (614195094436 = 7837062).

12534593764 divided by its sum of digits (49) gives a square (255808036 = 159942).

The spelling of 12534593764 in words is "twelve billion, five hundred thirty-four million, five hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 727 847 1078 1454 1694 2156 2908 3388 5089 5929 7997 10178 11858 15994 20356 23716 31988 35623 55979 71246 87967 111958 142492 175934 223916 351868 391853 528529 615769 783706 1057058 1231538 1567412 2114116 2463076 3699703 4310383 5813819 7399406 8620766 11627638 14798812 17241532 23255276 25897921 40696733 51795842 63952009 81393466 103591684 127904018 162786932 255808036 284877131 447664063 569754262 895328126 1139508524 1790656252 3133648441 6267296882 12534593764