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12644555232 = 253374382787
BaseRepresentation
bin10111100011010110…
…01001100111100000
31012122012221221220110
423301223021213200
5201344001231412
65450412411320
7625225642341
oct136153114740
935565857813
1012644555232
1153a9581551
12254a776b40
13126686045a
1487d4820c8
154e013ed3c
hex2f1ac99e0

12644555232 has 96 divisors (see below), whose sum is σ = 34882227072. Its totient is φ = 4005517824.

The previous prime is 12644555111. The next prime is 12644555303. The reversal of 12644555232 is 23255544621.

12644555232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 111343 + ... + 194129.

It is an arithmetic number, because the mean of its divisors is an integer number (363356532).

Almost surely, 212644555232 is an apocalyptic number.

12644555232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12644555232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441113536).

12644555232 is an abundant number, since it is smaller than the sum of its proper divisors (22237671840).

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

12644555232 is a wasteful number, since it uses less digits than its factorization.

12644555232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82880 (or 82872 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The spelling of 12644555232 in words is "twelve billion, six hundred forty-four million, five hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 86 96 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 3182 3552 4128 4773 6364 9546 12728 19092 25456 38184 50912 76368 82787 152736 165574 248361 331148 496722 662296 993444 1324592 1986888 2649184 3063119 3559841 3973776 6126238 7119682 7947552 9189357 10679523 12252476 14239364 18378714 21359046 24504952 28478728 36757428 42718092 49009904 56957456 73514856 85436184 98019808 113914912 131714117 147029712 170872368 263428234 294059424 341744736 395142351 526856468 790284702 1053712936 1580569404 2107425872 3161138808 4214851744 6322277616 12644555232