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132689450880 = 2732572326221
BaseRepresentation
bin111101110010011101…
…0000101011110000000
3110200111100121111122200
41323210322011132000
54133221444412010
6140542351233200
712405111503010
oct1734472053600
9420440544580
10132689450880
1151300810408
1221871518800
13c68813679c
1465ca753c40
1536b9012cc0
hex1ee4e85780

132689450880 has 576 divisors, whose sum is σ = 547494685920. Its totient is φ = 29005701120.

The previous prime is 132689450879. The next prime is 132689450941. The reversal of 132689450880 is 88054986231.

132689450880 is a `hidden beast` number, since 1 + 32 + 6 + 89 + 450 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21326170 + ... + 21332390.

Almost surely, 2132689450880 is an apocalyptic number.

132689450880 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 132689450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273747342960).

132689450880 is an abundant number, since it is smaller than the sum of its proper divisors (414805235040).

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

132689450880 is a wasteful number, since it uses less digits than its factorization.

132689450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 132689450880 in words is "one hundred thirty-two billion, six hundred eighty-nine million, four hundred fifty thousand, eight hundred eighty".