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132796493280 = 25345112194457
BaseRepresentation
bin111101110101101001…
…0011010110111100000
3110200202211000211020000
41323223102122313200
54133431400241110
6141001133420000
712410551365663
oct1735322326740
9420684024200
10132796493280
1151356181a00
12218a133a600
13c6a4374899
1465daa596da
1536c36091c0
hex1eeb49ade0

132796493280 has 720 divisors, whose sum is σ = 542374010640. Its totient is φ = 30491873280.

The previous prime is 132796493279. The next prime is 132796493303. The reversal of 132796493280 is 82394697231.

132796493280 is a `hidden beast` number, since 1 + 3 + 2 + 79 + 6 + 493 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29792812 + ... + 29797268.

It is an arithmetic number, because the mean of its divisors is an integer number (753297237).

Almost surely, 2132796493280 is an apocalyptic number.

132796493280 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 132796493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271187005320).

132796493280 is an abundant number, since it is smaller than the sum of its proper divisors (409577517360).

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

132796493280 is a wasteful number, since it uses less digits than its factorization.

132796493280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 132796493280 in words is "one hundred thirty-two billion, seven hundred ninety-six million, four hundred ninety-three thousand, two hundred eighty".