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132988806720 = 26355721119167
BaseRepresentation
bin111101111011011000…
…0000010011001000000
3110201021012220100200000
41323312300002121000
54134330113303340
6141032203400000
712415405130400
oct1736660023100
9421235810600
10132988806720
1151444794930
1221935823000
13c70516a313
1466183da800
1536d5445d30
hex1ef6c02640

132988806720 has 2016 divisors, whose sum is σ = 637458232320. Its totient is φ = 26022850560.

The previous prime is 132988806719. The next prime is 132988806749. The reversal of 132988806720 is 27608889231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 796340077 + ... + 796340243.

It is an arithmetic number, because the mean of its divisors is an integer number (316199520).

Almost surely, 2132988806720 is an apocalyptic number.

132988806720 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 132988806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729116160).

132988806720 is an abundant number, since it is smaller than the sum of its proper divisors (504469425600).

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

132988806720 is a wasteful number, since it uses less digits than its factorization.

132988806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 132988806720 in words is "one hundred thirty-two billion, nine hundred eighty-eight million, eight hundred six thousand, seven hundred twenty".