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132891544054080 = 26335717196802727
BaseRepresentation
bin11110001101110100111001…
…010001101110100101000000
3122102112022022012021122212000
4132031310321101232211000
5114404243340234212310
61150345311010104000
736664045226504520
oct3615647121564500
9572468265248760
10132891544054080
1139385a95163549
1212aa333127b000
13591c807763356
1424b5db0da1680
151056c325424c0
hex78dd3946e940

132891544054080 has 896 divisors, whose sum is σ = 597159790387200. Its totient is φ = 27083774656512.

The previous prime is 132891544054067. The next prime is 132891544054133. The reversal of 132891544054080 is 80450445198231.

132891544054080 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 9 + 1 + 54 + 40 + 540 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16133677 + ... + 22936403.

Almost surely, 2132891544054080 is an apocalyptic number.

132891544054080 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 132891544054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298579895193600).

132891544054080 is an abundant number, since it is smaller than the sum of its proper divisors (464268246333120).

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

132891544054080 is a wasteful number, since it uses less digits than its factorization.

132891544054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802796 (or 6802780 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 132891544054080 in words is "one hundred thirty-two trillion, eight hundred ninety-one billion, five hundred forty-four million, fifty-four thousand, eighty".