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12717641872 = 2413312817019
BaseRepresentation
bin10111101100000011…
…11101000010010000
31012211022111010221001
423312001331002100
5202021204014442
65501543111344
7630104113045
oct136601750220
935738433831
1012717641872
115436860631
12256b142554
131278a3cba0
148890691cc
154e677a2b7
hex2f607d090

12717641872 has 80 divisors (see below), whose sum is σ = 27493240320. Its totient is φ = 5659315200.

The previous prime is 12717641869. The next prime is 12717641921. The reversal of 12717641872 is 27814671721.

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, 1808379 + ... + 1815397.

It is an arithmetic number, because the mean of its divisors is an integer number (343665504).

Almost surely, 212717641872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12717641872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746620160).

12717641872 is an abundant number, since it is smaller than the sum of its proper divisors (14775598448).

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

12717641872 is a wasteful number, since it uses less digits than its factorization.

12717641872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7346 counting only the distinct ones).

The product of its digits is 263424, while the sum is 46.

The spelling of 12717641872 in words is "twelve billion, seven hundred seventeen million, six hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 281 403 496 562 806 1124 1612 2248 3224 3653 4496 6448 7019 7306 8711 14038 14612 17422 28076 29224 34844 56152 58448 69688 91247 112304 113243 139376 182494 217589 226486 364988 435178 452972 729976 870356 905944 1459952 1740712 1811888 1972339 2828657 3481424 3944678 5657314 7889356 11314628 15778712 22629256 25640407 31557424 45258512 51280814 61142509 102561628 122285018 205123256 244570036 410246512 489140072 794852617 978280144 1589705234 3179410468 6358820936 12717641872