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12644189856 = 2533130711197
BaseRepresentation
bin10111100011010011…
…10000011010100000
31012122012021101201000
423301221300122200
5201343403033411
65450400512000
7625222561164
oct136151603240
935565241630
1012644189856
1153a9351a91
12254a61b600
13126676305c
1487d3c8ca4
154e00bb956
hex2f1a706a0

12644189856 has 96 divisors (see below), whose sum is σ = 36910399680. Its totient is φ = 4211129088.

The previous prime is 12644189827. The next prime is 12644189867. The reversal of 12644189856 is 65898144621.

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

It is a super-2 number, since 2×126441898562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123650 + ... + 1134846.

It is an arithmetic number, because the mean of its divisors is an integer number (384483330).

Almost surely, 212644189856 is an apocalyptic number.

12644189856 is a gapful number since it is divisible by the number (16) 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 12644189856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18455199840).

12644189856 is an abundant number, since it is smaller than the sum of its proper divisors (24266209824).

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

12644189856 is a wasteful number, since it uses less digits than its factorization.

12644189856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12509 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

It can be divided in two parts, 12644 and 189856, that added together give a square (202500 = 4502).

The spelling of 12644189856 in words is "twelve billion, six hundred forty-four million, one hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1307 2614 3921 5228 7842 10456 11197 11763 15684 20912 22394 23526 31368 33591 35289 41824 44788 47052 62736 67182 70578 89576 94104 100773 125472 134364 141156 179152 188208 201546 268728 282312 302319 358304 376416 403092 537456 564624 604638 806184 1074912 1129248 1209276 1612368 2418552 3224736 4837104 9674208 14634479 29268958 43903437 58537916 87806874 117075832 131710311 175613748 234151664 263420622 351227496 395130933 468303328 526841244 702454992 790261866 1053682488 1404909984 1580523732 2107364976 3161047464 4214729952 6322094928 12644189856