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132844440960 = 27335721117839
BaseRepresentation
bin111101110111000100…
…1010100110110000000
3110200220011020211002000
41323232021110312000
54134031134102320
6141010005224000
712412003055100
oct1735611246600
9420804224060
10132844440960
1151380250790
12218b5402000
13c6b1291aaa
14660317b200
1536c792ac90
hex1eee254d80

132844440960 has 1536 divisors, whose sum is σ = 632935296000. Its totient is φ = 25949306880.

The previous prime is 132844440947. The next prime is 132844440961. The reversal of 132844440960 is 69044448231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132844440961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158336221 + ... + 158337059.

It is an arithmetic number, because the mean of its divisors is an integer number (412067250).

Almost surely, 2132844440960 is an apocalyptic number.

132844440960 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 132844440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316467648000).

132844440960 is an abundant number, since it is smaller than the sum of its proper divisors (500090855040).

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

132844440960 is a wasteful number, since it uses less digits than its factorization.

132844440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 132844440960 in words is "one hundred thirty-two billion, eight hundred forty-four million, four hundred forty thousand, nine hundred sixty".