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132089688576 = 293431127809
BaseRepresentation
bin111101100000100101…
…0001011001000000000
3110121221120001102110000
41323001022023020000
54131004430013301
6140403044240000
712354206553606
oct1730112131000
9417846042400
10132089688576
115102320508a
12217246a0000
13c5c0ac2151
146570c2d876
153681540786
hex1ec128b200

132089688576 has 400 divisors, whose sum is σ = 410682286080. Its totient is φ = 42221813760.

The previous prime is 132089688557. The next prime is 132089688581. The reversal of 132089688576 is 675886980231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163274860 + ... + 163275668.

Almost surely, 2132089688576 is an apocalyptic number.

132089688576 is a gapful number since it is divisible by the number (16) 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 132089688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205341143040).

132089688576 is an abundant number, since it is smaller than the sum of its proper divisors (278592597504).

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

132089688576 is an equidigital number, since it uses as much as digits as its factorization.

132089688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 132089688576 in words is "one hundred thirty-two billion, eighty-nine million, six hundred eighty-eight thousand, five hundred seventy-six".