Search a number
-
+
132220112032 = 25295915491559
BaseRepresentation
bin111101100100011101…
…1101100110010100000
3110122021122110121210101
41323020323230302200
54131241322041112
6140424023512144
712360352260121
oct1731073546240
9418248417711
10132220112032
115108a896168
12217602b8654
13c611b285a8
1465842a0048
15368cc04757
hex1ec8eecca0

132220112032 has 96 divisors (see below), whose sum is σ = 274201200000. Its totient is φ = 62667795456.

The previous prime is 132220112027. The next prime is 132220112041. The reversal of 132220112032 is 230211022231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84810069 + ... + 84811627.

It is an arithmetic number, because the mean of its divisors is an integer number (2856262500).

Almost surely, 2132220112032 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 132220112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600000).

132220112032 is an abundant number, since it is smaller than the sum of its proper divisors (141981087968).

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

132220112032 is a wasteful number, since it uses less digits than its factorization.

132220112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132220112032 its reverse (230211022231), we get a palindrome (362431134263).

The spelling of 132220112032 in words is "one hundred thirty-two billion, two hundred twenty million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1549 1559 1711 1888 3098 3118 3422 6196 6236 6844 12392 12472 13688 24784 24944 27376 44921 45211 49568 49888 54752 89842 90422 91391 91981 179684 180844 182782 183962 359368 361688 365564 367924 718736 723376 731128 735848 1437472 1446752 1462256 1471696 2414891 2650339 2667449 2924512 2943392 4829782 5300678 5334898 9659564 10601356 10669796 19319128 21202712 21339592 38638256 42405424 42679184 70031839 77276512 84810848 85358368 140063678 142478569 280127356 284957138 560254712 569914276 1120509424 1139828552 2241018848 2279657104 4131878501 4559314208 8263757002 16527514004 33055028008 66110056016 132220112032