Search a number
-
+
21655602660 = 223517173312251
BaseRepresentation
bin10100001010110001…
…100100010111100100
32001220012211121010210
4110022301210113210
5323322313241120
613540510415420
71364434404546
oct241261442744
961805747123
1021655602660
11920302888a
124244501570
1320716aac93
141096131696
1586b29ece0
hex50ac645e4

21655602660 has 96 divisors (see below), whose sum is σ = 64244783232. Its totient is φ = 5431552000.

The previous prime is 21655602601. The next prime is 21655602707. The reversal of 21655602660 is 6620655612.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761535 + ... + 1773785.

It is an arithmetic number, because the mean of its divisors is an integer number (669216492).

Almost surely, 221655602660 is an apocalyptic number.

21655602660 is a gapful number since it is divisible by the number (20) 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 21655602660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32122391616).

21655602660 is an abundant number, since it is smaller than the sum of its proper divisors (42589180572).

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

21655602660 is a wasteful number, since it uses less digits than its factorization.

21655602660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14013 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 21655602660 in words is "twenty-one billion, six hundred fifty-five million, six hundred two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1733 3466 5199 6932 8665 10398 12251 17330 20796 24502 25995 29461 34660 36753 49004 51990 58922 61255 73506 88383 103980 117844 122510 147012 147305 176766 183765 208267 245020 294610 353532 367530 416534 441915 589220 624801 735060 833068 883830 1041335 1249602 1767660 2082670 2499204 3124005 4165340 6248010 12496020 21230983 42461966 63692949 84923932 106154915 127385898 212309830 254771796 318464745 360926711 424619660 636929490 721853422 1082780133 1273858980 1443706844 1804633555 2165560266 3609267110 4331120532 5413900665 7218534220 10827801330 21655602660