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132855344640 = 293451933721
BaseRepresentation
bin111101110111011001…
…0111010111000000000
3110200220220202210010000
41323232302322320000
54134041432012030
6141011035040000
712412164540204
oct1735662727000
9420826683100
10132855344640
1151386418897
12218b8ba0000
13c6b360ba85
1466047b8b04
1536c8881860
hex1eeecbae00

132855344640 has 400 divisors, whose sum is σ = 500905239120. Its totient is φ = 33562460160.

The previous prime is 132855344639. The next prime is 132855344647. The reversal of 132855344640 is 46443558231.

132855344640 is a `hidden beast` number, since 1 + 32 + 8 + 5 + 534 + 46 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132855344647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3922980 + ... + 3956700.

Almost surely, 2132855344640 is an apocalyptic number.

132855344640 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 132855344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250452619560).

132855344640 is an abundant number, since it is smaller than the sum of its proper divisors (368049894480).

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

132855344640 is an equidigital number, since it uses as much as digits as its factorization.

132855344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33775 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 132855344640 in words is "one hundred thirty-two billion, eight hundred fifty-five million, three hundred forty-four thousand, six hundred forty".