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132327966800 = 2452330819917
BaseRepresentation
bin111101100111101011…
…1001000100001010000
3110122120011102012201102
41323033113020201100
54132001424414200
6140442435323532
712363132105401
oct1731727104120
9418504365642
10132327966800
1151135762037
12217904505a8
13c62b28c393
1465947379a8
15369740b6d5
hex1ecf5c8850

132327966800 has 30 divisors (see below), whose sum is σ = 317917941198. Its totient is φ = 52931186560.

The previous prime is 132327966677. The next prime is 132327966809. The reversal of 132327966800 is 8669723231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2638671424 + 129689295376 = 51368^2 + 360124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132327966809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165409559 + ... + 165410358.

Almost surely, 2132327966800 is an apocalyptic number.

132327966800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132327966800 is an abundant number, since it is smaller than the sum of its proper divisors (185589974398).

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

132327966800 is a wasteful number, since it uses less digits than its factorization.

132327966800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330819935 (or 330819924 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 132327966800 in words is "one hundred thirty-two billion, three hundred twenty-seven million, nine hundred sixty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 330819917 661639834 1323279668 1654099585 2646559336 3308199170 5293118672 6616398340 8270497925 13232796680 16540995850 26465593360 33081991700 66163983400 132327966800