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132492316320 = 253257135917137
BaseRepresentation
bin111101101100100101…
…0000100111010100000
3110122222121200000212200
41323121022010322200
54132321013110240
6140511030053200
712400166051460
oct1733112047240
9418877600780
10132492316320
115120a505291
12218174aa200
13c656343810
1465ac4b9ba0
1536a6a72930
hex1ed9284ea0

132492316320 has 576 divisors, whose sum is σ = 565932407040. Its totient is φ = 27479015424.

The previous prime is 132492316259. The next prime is 132492316321. The reversal of 132492316320 is 23613294231.

132492316320 is a `hidden beast` number, since 1 + 3 + 2 + 492 + 3 + 163 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132492316321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7722792 + ... + 7739928.

It is an arithmetic number, because the mean of its divisors is an integer number (982521540).

Almost surely, 2132492316320 is an apocalyptic number.

132492316320 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 132492316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282966203520).

132492316320 is an abundant number, since it is smaller than the sum of its proper divisors (433440090720).

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

132492316320 is a wasteful number, since it uses less digits than its factorization.

132492316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17237 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 132492316320 in words is "one hundred thirty-two billion, four hundred ninety-two million, three hundred sixteen thousand, three hundred twenty".