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132232032000 = 283253538663
BaseRepresentation
bin111101100100110100…
…1001010111100000000
3110122022110220012220200
41323021221022330000
54131302400011000
6140425131205200
712360555504165
oct1731151127400
9418273805820
10132232032000
1151096597882
12217642a6800
13c614440023
146585ac406c
15368dcab500
hex1ec9a4af00

132232032000 has 432 divisors, whose sum is σ = 484842915648. Its totient is φ = 34592563200.

The previous prime is 132232031959. The next prime is 132232032001. The reversal of 132232032000 is 230232231.

It is a happy number.

132232032000 is a `hidden beast` number, since 1 + 3 + 22 + 320 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232032001) 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 47 ways as a sum of consecutive naturals, for example, 15259669 + ... + 15268331.

It is an arithmetic number, because the mean of its divisors is an integer number (1122321564).

Almost surely, 2132232032000 is an apocalyptic number.

132232032000 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 132232032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242421457824).

132232032000 is an abundant number, since it is smaller than the sum of its proper divisors (352610883648).

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

132232032000 is an equidigital number, since it uses as much as digits as its factorization.

132232032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132232032000 its reverse (230232231), we get a palindrome (132462264231).

The spelling of 132232032000 in words is "one hundred thirty-two billion, two hundred thirty-two million, thirty-two thousand".