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132291550849440 = 2535173112719920693
BaseRepresentation
bin11110000101000110000110…
…111001010010100110100000
3122100101221121122012211211210
4132011012012321102212200
5114314431044004140230
61145205522141310120
736602514645431163
oct3605060671224640
9570357548184753
10132291550849440
1139174593691454
1212a06ba4865340
1358a8069344b88
142494d339a9ada
1510463180b7eb0
hex785186e529a0

132291550849440 has 768 divisors, whose sum is σ = 461379914956800. Its totient is φ = 31716803543040.

The previous prime is 132291550849391. The next prime is 132291550849477. The reversal of 132291550849440 is 44948055192231.

It is a super-2 number, since 2×1322915508494402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6393047734 + ... + 6393068426.

It is an arithmetic number, because the mean of its divisors is an integer number (600755097600).

Almost surely, 2132291550849440 is an apocalyptic number.

132291550849440 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 132291550849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230689957478400).

132291550849440 is an abundant number, since it is smaller than the sum of its proper divisors (329088364107360).

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

132291550849440 is a wasteful number, since it uses less digits than its factorization.

132291550849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21085 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 132291550849440 in words is "one hundred thirty-two trillion, two hundred ninety-one billion, five hundred fifty million, eight hundred forty-nine thousand, four hundred forty".