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132241833600 = 27352314311031
BaseRepresentation
bin111101100101000111…
…0100011111010000000
3110122100011100012011220
41323022032203322000
54131312402133400
6140430121235040
712361035016242
oct1731216437200
9418304305156
10132241833600
11510a1081978
1221767632a80
13c6164924a6
146587116092
15368ea957a0
hex1eca3a3e80

132241833600 has 384 divisors, whose sum is σ = 451102556160. Its totient is φ = 34014720000.

The previous prime is 132241833587. The next prime is 132241833653. The reversal of 132241833600 is 6338142231.

It is a tau number, because it is divible by the number of its divisors (384).

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, 128265085 + ... + 128266115.

It is an arithmetic number, because the mean of its divisors is an integer number (1174746240).

Almost surely, 2132241833600 is an apocalyptic number.

132241833600 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 132241833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225551278080).

132241833600 is an abundant number, since it is smaller than the sum of its proper divisors (318860722560).

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

132241833600 is a wasteful number, since it uses less digits than its factorization.

132241833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 132241833600 its reverse (6338142231), we get a palindrome (138579975831).

The spelling of 132241833600 in words is "one hundred thirty-two billion, two hundred forty-one million, eight hundred thirty-three thousand, six hundred".