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132059144448 = 2834711273103
BaseRepresentation
bin111101011111101010…
…1101010000100000000
3110121212102120121210000
41322333111222010000
54130424120110243
6140400033440000
712353356130640
oct1727725520400
9417772517700
10132059144448
1151007a42900
1221716410000
13c5b76895ba
14656ab5c520
15367da0a5d3
hex1ebf56a100

132059144448 has 1080 divisors, whose sum is σ = 506305864064. Its totient is φ = 33502740480.

The previous prime is 132059144447. The next prime is 132059144513. The reversal of 132059144448 is 844441950231.

132059144448 is a `hidden beast` number, since 13 + 2 + 0 + 59 + 144 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (132059144447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1282127565 + ... + 1282127667.

Almost surely, 2132059144448 is an apocalyptic number.

132059144448 is a gapful number since it is divisible by the number (18) 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 132059144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253152932032).

132059144448 is an abundant number, since it is smaller than the sum of its proper divisors (374246719616).

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

132059144448 is a wasteful number, since it uses less digits than its factorization.

132059144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 132059144448 in words is "one hundred thirty-two billion, fifty-nine million, one hundred forty-four thousand, four hundred forty-eight".