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132992750592 = 210321317223167
BaseRepresentation
bin111101111011011111…
…1000101010000000000
3110201021111022201122100
41323312333011100000
54134332121004332
6141032424110400
712415453504512
oct1736677052000
9421244281570
10132992750592
1151446a38a29
1221937005400
13c705c1b480
146618b45bb2
1536d597467c
hex1ef6fc5400

132992750592 has 792 divisors, whose sum is σ = 461156282496. Its totient is φ = 36618633216.

The previous prime is 132992750591. The next prime is 132992750623. The reversal of 132992750592 is 295057299231.

132992750592 is a `hidden beast` number, since 1 + 3 + 29 + 9 + 27 + 5 + 0 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132992750591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 796363693 + ... + 796363859.

Almost surely, 2132992750592 is an apocalyptic number.

132992750592 is a gapful number since it is divisible by the number (12) 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 132992750592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230578141248).

132992750592 is an abundant number, since it is smaller than the sum of its proper divisors (328163531904).

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

132992750592 is a wasteful number, since it uses less digits than its factorization.

132992750592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 132992750592 in words is "one hundred thirty-two billion, nine hundred ninety-two million, seven hundred fifty thousand, five hundred ninety-two".