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132443101184 = 2111926912653
BaseRepresentation
bin111101101011000111…
…0010101100000000000
3110122212012001122101212
41323112032111200000
54132220413214214
6140502111145252
712366030533222
oct1732616254000
9418765048355
10132443101184
1151194750219
1221802b15228
13c6490a1734
1465a5b48412
1536a25a053e
hex1ed6395800

132443101184 has 96 divisors (see below), whose sum is σ = 279817902000. Its totient is φ = 62498045952.

The previous prime is 132443101139. The next prime is 132443101199. The reversal of 132443101184 is 481101344231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 132443101184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10461002 + ... + 10473654.

Almost surely, 2132443101184 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 132443101184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139908951000).

132443101184 is an abundant number, since it is smaller than the sum of its proper divisors (147374800816).

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

132443101184 is a wasteful number, since it uses less digits than its factorization.

132443101184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 132443101184 in words is "one hundred thirty-two billion, four hundred forty-three million, one hundred one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 269 304 512 538 608 1024 1076 1216 2048 2152 2432 4304 4864 5111 8608 9728 10222 12653 17216 19456 20444 25306 34432 38912 40888 50612 68864 81776 101224 137728 163552 202448 240407 275456 327104 404896 480814 550912 654208 809792 961628 1308416 1619584 1923256 2616832 3239168 3403657 3846512 5233664 6478336 6807314 7693024 10467328 12956672 13614628 15386048 25913344 27229256 30772096 54458512 61544192 64669483 108917024 123088384 129338966 217834048 246176768 258677932 435668096 492353536 517355864 871336192 1034711728 1742672384 2069423456 3485344768 4138846912 6970689536 8277693824 16555387648 33110775296 66221550592 132443101184