Search a number
-
+
9080872164 = 223271327710007
BaseRepresentation
bin10000111010100001…
…10001110011100100
3212102212021002202200
420131100301303210
5122044200402124
64101030334500
7441014065650
oct103520616344
925385232680
109080872164
11393aa08731
1219151ba430
13b19457650
14622067a60
15382353bc9
hex21d431ce4

9080872164 has 144 divisors (see below), whose sum is σ = 28356427008. Its totient is φ = 2386070784.

The previous prime is 9080872147. The next prime is 9080872169. The reversal of 9080872164 is 4612780809.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9080872169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902449 + ... + 912455.

It is an arithmetic number, because the mean of its divisors is an integer number (196919632).

Almost surely, 29080872164 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 9080872164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178213504).

9080872164 is an abundant number, since it is smaller than the sum of its proper divisors (19275554844).

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

9080872164 is a wasteful number, since it uses less digits than its factorization.

9080872164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9080872164 is about 95293.6102999566. The cubic root of 9080872164 is about 2086.2956569144.

The spelling of 9080872164 in words is "nine billion, eighty million, eight hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 277 364 468 546 554 819 831 1092 1108 1638 1662 1939 2493 3276 3324 3601 3878 4986 5817 7202 7756 9972 10007 10803 11634 14404 17451 20014 21606 23268 25207 30021 32409 34902 40028 43212 50414 60042 64818 69804 70049 75621 90063 100828 120084 129636 130091 140098 151242 180126 210147 226863 260182 280196 302484 360252 390273 420294 453726 520364 630441 780546 840588 907452 910637 1170819 1260882 1561092 1821274 2341638 2521764 2731911 2771939 3642548 4683276 5463822 5543878 8195733 8315817 10927644 11087756 16391466 16631634 19403573 24947451 32782932 33263268 36035207 38807146 49894902 58210719 72070414 77614292 99789804 108105621 116421438 144140828 174632157 216211242 232842876 252246449 324316863 349264314 432422484 504492898 648633726 698528628 756739347 1008985796 1297267452 1513478694 2270218041 3026957388 4540436082 9080872164