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132728260000 = 255472167811
BaseRepresentation
bin111101110011100111…
…0001000010110100000
3110200121001122012202111
41323213032020112200
54133311413310000
6140550255125104
712406062411100
oct1734716102640
9420531565674
10132728260000
1151320708266
1221882513794
13c6931a426b
1465d1977200
1536bc62bcba
hex1ee73885a0

132728260000 has 360 divisors, whose sum is σ = 382588357536. Its totient is φ = 45178560000.

The previous prime is 132728259997. The next prime is 132728260009. The reversal of 132728260000 is 62827231.

It is not an unprimeable number, because it can be changed into a prime (132728260009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 163659595 + ... + 163660405.

Almost surely, 2132728260000 is an apocalyptic number.

132728260000 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 132728260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191294178768).

132728260000 is an abundant number, since it is smaller than the sum of its proper divisors (249860097536).

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

132728260000 is an equidigital number, since it uses as much as digits as its factorization.

132728260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 132728260000 in words is "one hundred thirty-two billion, seven hundred twenty-eight million, two hundred sixty thousand".