Search a number
-
+
132220466166024 = 23325053936336203
BaseRepresentation
bin11110000100000011111001…
…111010101111100100001000
3122100011011010121211210001100
4132010003321322233210020
5114312300003314303044
61145113124342021400
736564420260540205
oct3604037172574410
9570134117753040
10132220466166024
1139147426196705
12129b5266717860
1358a144b280322
14249170ccc0cac
151044557649869
hex7840f9eaf908

132220466166024 has 48 divisors (see below), whose sum is σ = 358104191281200. Its totient is φ = 44072615440224.

The previous prime is 132220466165951. The next prime is 132220466166029. The reversal of 132220466166024 is 420661664022231.

It is a happy number.

132220466166024 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 4 + 6 + 616 + 6 + 0 + 24 = 666.

It is a super-3 number, since 3×1322204661660243 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132220466166029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14529294 + ... + 21806909.

It is an arithmetic number, because the mean of its divisors is an integer number (7460503985025).

Almost surely, 2132220466166024 is an apocalyptic number.

It is an amenable number.

132220466166024 is an abundant number, since it is smaller than the sum of its proper divisors (225883725115176).

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

132220466166024 is a wasteful number, since it uses less digits than its factorization.

132220466166024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36386754 (or 36386747 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 132220466166024 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred sixty-six million, one hundred sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 50539 101078 151617 202156 303234 404312 454851 606468 909702 1212936 1819404 3638808 36336203 72672406 109008609 145344812 218017218 290689624 327025827 436034436 654051654 872068872 1308103308 2616206616 1836395363417 3672790726834 5509186090251 7345581453668 11018372180502 14691162907336 16527558270753 22036744361004 33055116541506 44073488722008 66110233083012 132220466166024