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132326887680 = 2834513313167
BaseRepresentation
bin111101100111101001…
…1000001000100000000
3110122120002101101110000
41323033103001010000
54132001140401210
6140442400240000
712363116662311
oct1731723010400
9418502341400
10132326887680
11511350952a9
1221790010000
13c62aca2150
146594536608
153697296ac0
hex1ecf4c1100

132326887680 has 720 divisors, whose sum is σ = 526527074304. Its totient is φ = 31512084480.

The previous prime is 132326887663. The next prime is 132326887681. The reversal of 132326887680 is 86788623231.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132326887681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41781457 + ... + 41784623.

Almost surely, 2132326887680 is an apocalyptic number.

132326887680 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 132326887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263263537152).

132326887680 is an abundant number, since it is smaller than the sum of its proper divisors (394200186624).

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

132326887680 is a wasteful number, since it uses less digits than its factorization.

132326887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 132326887680 in words is "one hundred thirty-two billion, three hundred twenty-six million, eight hundred eighty-seven thousand, six hundred eighty".