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132180520560 = 2435113111314293
BaseRepresentation
bin111101100011010010…
…0101010111001110000
3110122011212222011111120
41323012210222321300
54131201203124220
6140420051142240
712356361613104
oct1730644527160
9418155864446
10132180520560
115106a504540
122174aba4980
13c60687599a
14657cd15904
1536894d3a40
hex1ec692ae70

132180520560 has 320 divisors, whose sum is σ = 465546203136. Its totient is φ = 30733516800.

The previous prime is 132180520513. The next prime is 132180520573. The reversal of 132180520560 is 65025081231.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 9240774 + ... + 9255066.

Almost surely, 2132180520560 is an apocalyptic number.

132180520560 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 132180520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232773101568).

132180520560 is an abundant number, since it is smaller than the sum of its proper divisors (333365682576).

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

132180520560 is a wasteful number, since it uses less digits than its factorization.

132180520560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14464 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 132180520560 in words is "one hundred thirty-two billion, one hundred eighty million, five hundred twenty thousand, five hundred sixty".