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132433327489024 = 216449532
BaseRepresentation
bin11110000111001010001001…
…011100010000000000000000
3122100220111120021222100221001
4132013022021130100000000
5114324241423314122044
61145355010350541344
736615664212121552
oct3607121134200000
9570814507870831
10132433327489024
1139219727924171
1212a2a571507854
1358b85420080a3
14249bb4314d4d2
151049d64c7b2d4
hex787289710000

132433327489024 has 51 divisors (see below), whose sum is σ = 264870526371573. Its totient is φ = 66215190724608.

The previous prime is 132433327489013. The next prime is 132433327489049. The reversal of 132433327489024 is 420984723334231.

It is a happy number.

The square root of 132433327489024 is 11507968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132327291289600 + 106036199424 = 11503360^2 + 325632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2946017332 + ... + 2946062284.

Almost surely, 2132433327489024 is an apocalyptic number.

132433327489024 is the 11507968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132433327489024

132433327489024 is an abundant number, since it is smaller than the sum of its proper divisors (132437198882549).

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

132433327489024 is an frugal number, since it uses more digits than its factorization.

132433327489024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89938 (or 44955 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 55.

The spelling of 132433327489024 in words is "one hundred thirty-two trillion, four hundred thirty-three billion, three hundred twenty-seven million, four hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 44953 65536 89906 179812 359624 719248 1438496 2876992 5753984 11507968 23015936 46031872 92063744 184127488 368254976 736509952 1473019904 2020772209 2946039808 4041544418 8083088836 16166177672 32332355344 64664710688 129329421376 258658842752 517317685504 1034635371008 2069270742016 4138541484032 8277082968064 16554165936128 33108331872256 66216663744512 132433327489024