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132841912320 = 21132513110879
BaseRepresentation
bin111101110110111111…
…1101011100000000000
3110200212222111100102200
41323231333223200000
54134030012143240
6141005435113200
712411642424005
oct1735577534000
9420788440380
10132841912320
11513798839a7
12218b45a2800
13c6b08b7b60
146602abd8ac
1536c75cb930
hex1eedfeb800

132841912320 has 288 divisors, whose sum is σ = 495826531200. Its totient is φ = 32699252736.

The previous prime is 132841912309. The next prime is 132841912417. The reversal of 132841912320 is 23219148231.

132841912320 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 419 + 1 + 232 + 0 = 666.

132841912320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142641 + ... + 1253519.

It is an arithmetic number, because the mean of its divisors is an integer number (1721619900).

Almost surely, 2132841912320 is an apocalyptic number.

132841912320 is a gapful number since it is divisible by the number (10) 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 132841912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247913265600).

132841912320 is an abundant number, since it is smaller than the sum of its proper divisors (362984618880).

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

132841912320 is a wasteful number, since it uses less digits than its factorization.

132841912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110925 (or 110902 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132841912320 in words is "one hundred thirty-two billion, eight hundred forty-one million, nine hundred twelve thousand, three hundred twenty".