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132252963840 = 21038531127
BaseRepresentation
bin111101100101011100…
…1000001010000000000
3110122100221021200000000
41323022321001100000
54131323224320330
6140431200000000
712361231434024
oct1731271012000
9418327250000
10132252963840
11510a7394218
122176b300000
13c61888b62a
1465887b2384
153690a43560
hex1ecae41400

132252963840 has 792 divisors, whose sum is σ = 495071895552. Its totient is φ = 33861058560.

The previous prime is 132252963839. The next prime is 132252963851. The reversal of 132252963840 is 48369252231.

132252963840 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 2 + 9 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041361857 + ... + 1041361983.

Almost surely, 2132252963840 is an apocalyptic number.

132252963840 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 132252963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247535947776).

132252963840 is an abundant number, since it is smaller than the sum of its proper divisors (362818931712).

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

132252963840 is an frugal number, since it uses more digits than its factorization.

132252963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 132252963840 in words is "one hundred thirty-two billion, two hundred fifty-two million, nine hundred sixty-three thousand, eight hundred forty".