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132232538880 = 28345131729199
BaseRepresentation
bin111101100100110101…
…1000110101100000000
3110122022111211222020000
41323021223012230000
54131303012221010
6140425150120000
712360563015031
oct1731153065400
9418274758200
10132232538880
1151096903692
12217644b0000
13c614589960
146585bb6a88
15368dd5b7c0
hex1ec9ac6b00

132232538880 has 1440 divisors, whose sum is σ = 560930832000. Its totient is φ = 29429858304.

The previous prime is 132232538873. The next prime is 132232538887. The reversal of 132232538880 is 88835232231.

132232538880 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 32 + 538 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (132232538873) and next prime (132232538887).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (132232538887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 664485021 + ... + 664485219.

It is an arithmetic number, because the mean of its divisors is an integer number (389535300).

Almost surely, 2132232538880 is an apocalyptic number.

132232538880 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 132232538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280465416000).

132232538880 is an abundant number, since it is smaller than the sum of its proper divisors (428698293120).

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

132232538880 is a wasteful number, since it uses less digits than its factorization.

132232538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 132232538880 in words is "one hundred thirty-two billion, two hundred thirty-two million, five hundred thirty-eight thousand, eight hundred eighty".