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132915323520 = 273557831471
BaseRepresentation
bin111101111001001011…
…1101110001010000000
3110201002002122000200000
41323302113232022000
54134202310323040
6141021020400000
712413523415560
oct1736227561200
9421062560600
10132915323520
1151407264911
12219150a6000
13c6c2b7c235
14660c74cda0
1536cdc7d130
hex1ef25ee280

132915323520 has 768 divisors, whose sum is σ = 550896353280. Its totient is φ = 29994209280.

The previous prime is 132915323477. The next prime is 132915323537. The reversal of 132915323520 is 25323519231.

132915323520 is a `hidden beast` number, since 1 + 3 + 2 + 91 + 532 + 35 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90356385 + ... + 90357855.

It is an arithmetic number, because the mean of its divisors is an integer number (717312960).

Almost surely, 2132915323520 is an apocalyptic number.

132915323520 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 132915323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275448176640).

132915323520 is an abundant number, since it is smaller than the sum of its proper divisors (417981029760).

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

132915323520 is an equidigital number, since it uses as much as digits as its factorization.

132915323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 132915323520 in words is "one hundred thirty-two billion, nine hundred fifteen million, three hundred twenty-three thousand, five hundred twenty".