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132489083160 = 2333572171923337
BaseRepresentation
bin111101101100011110…
…1101111100100011000
3110122222101120202211000
41323120331233210120
54132314201130120
6140510432505000
712400126424400
oct1733075574430
9418871522730
10132489083160
11512086a7155
12218163ab160
13c655780cc5
1465abcb7800
1536a6634990
hex1ed8f6f918

132489083160 has 1536 divisors, whose sum is σ = 599249664000. Its totient is φ = 25751126016.

The previous prime is 132489083159. The next prime is 132489083191. The reversal of 132489083160 is 61380984231.

132489083160 is a `hidden beast` number, since 1 + 3 + 2 + 489 + 0 + 8 + 3 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 393142512 + ... + 393142848.

It is an arithmetic number, because the mean of its divisors is an integer number (390136500).

Almost surely, 2132489083160 is an apocalyptic number.

132489083160 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 132489083160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299624832000).

132489083160 is an abundant number, since it is smaller than the sum of its proper divisors (466760580840).

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

132489083160 is a wasteful number, since it uses less digits than its factorization.

132489083160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 132489083160 in words is "one hundred thirty-two billion, four hundred eighty-nine million, eighty-three thousand, one hundred sixty".