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132044644892160 = 293257112131721801
BaseRepresentation
bin11110000001100000001010…
…001001110011111000000000
3122022112100022100002122102100
4132001200022021303320000
5114301404413043022120
61144500250013550400
736545624252425140
oct3601401211637000
9568470270078370
10132044644892160
1139089901710300
12129871784a5400
13588a9ab2a65c0
142486dd0080920
15103ebb6c1c490
hex78180a273e00

132044644892160 has 4320 divisors, whose sum is σ = 657556480316736. Its totient is φ = 23824171008000.

The previous prime is 132044644892119. The next prime is 132044644892207. The reversal of 132044644892160 is 61298446440231.

132044644892160 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 44 + 64 + 489 + 2 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132044644892097 and 132044644892106.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 73317403260 + ... + 73317405060.

Almost surely, 2132044644892160 is an apocalyptic number.

132044644892160 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 132044644892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328778240158368).

132044644892160 is an abundant number, since it is smaller than the sum of its proper divisors (525511835424576).

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

132044644892160 is a wasteful number, since it uses less digits than its factorization.

132044644892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 132044644892160 in words is "one hundred thirty-two trillion, forty-four billion, six hundred forty-four million, eight hundred ninety-two thousand, one hundred sixty".