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132295252320 = 25345711373583
BaseRepresentation
bin111101100110101101…
…0010101100101100000
3110122110212212010220000
41323031122111211200
54131420041033240
6140435310220000
712362254043040
oct1731532254540
9418425763800
10132295252320
1151119248180
12217814b4600
13c6245769ba
14659025d720
1536945e8430
hex1ecd695960

132295252320 has 960 divisors, whose sum is σ = 597998370816. Its totient is φ = 26739486720.

The previous prime is 132295252319. The next prime is 132295252333. The reversal of 132295252320 is 23252592231.

132295252320 is a `hidden beast` number, since 1 + 3 + 22 + 95 + 2 + 523 + 20 = 666.

132295252320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 36921249 + ... + 36924831.

Almost surely, 2132295252320 is an apocalyptic number.

132295252320 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 132295252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298999185408).

132295252320 is an abundant number, since it is smaller than the sum of its proper divisors (465703118496).

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

132295252320 is a wasteful number, since it uses less digits than its factorization.

132295252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132295252320 in words is "one hundred thirty-two billion, two hundred ninety-five million, two hundred fifty-two thousand, three hundred twenty".