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132432840360 = 2332517193112121
BaseRepresentation
bin111101101010110011…
…1001100011010101000
3110122211110202100012100
41323111213030122220
54132210301342420
6140501103213400
712365544366252
oct1732547143250
9418743670170
10132432840360
11511899820a7
12217bb5a7260
13c646c1b242
1465a4636cd2
1536a1725190
hex1ed59cc6a8

132432840360 has 192 divisors, whose sum is σ = 458090128080. Its totient is φ = 33065533440.

The previous prime is 132432840359. The next prime is 132432840493. The reversal of 132432840360 is 63048234231.

132432840360 is a `hidden beast` number, since 1 + 3 + 243 + 2 + 8 + 403 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23797998756 + 108634841604 = 154266^2 + 329598^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125100 + ... + 1237220.

Almost surely, 2132432840360 is an apocalyptic number.

132432840360 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 132432840360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229045064040).

132432840360 is an abundant number, since it is smaller than the sum of its proper divisors (325657287720).

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

132432840360 is a wasteful number, since it uses less digits than its factorization.

132432840360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112348 (or 112341 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 132432840360 in words is "one hundred thirty-two billion, four hundred thirty-two million, eight hundred forty thousand, three hundred sixty".