Base | Representation |
---|---|
bin | 111101100111101010… |
… | …0000011000001000000 |
3 | 110122120002220010000100 |
4 | 1323033110003001000 |
5 | 4132001223022244 |
6 | 140442410122400 |
7 | 12363122166021 |
oct | 1731724030100 |
9 | 418502803010 |
10 | 132327157824 |
11 | 5113525a264 |
12 | 21790120400 |
13 | c62b0680b4 |
14 | 65945a6c48 |
15 | 36972ebb69 |
hex | 1ecf503040 |
132327157824 has 189 divisors, whose sum is σ = 397102437823. Its totient is φ = 42127244544.
The previous prime is 132327157813. The next prime is 132327157829. The reversal of 132327157824 is 428751723231.
The square root of 132327157824 is 363768.
It is a perfect power (a square), and thus also a powerful number.
132327157824 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 71 + 578 + 2 + 4 = 666.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 132327157824.
It is not an unprimeable number, because it can be changed into a prime (132327157829) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200799607 + ... + 200800265.
Almost surely, 2132327157824 is an apocalyptic number.
132327157824 is the 363768-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132327157824
132327157824 is an abundant number, since it is smaller than the sum of its proper divisors (264775279999).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132327157824 is an frugal number, since it uses more digits than its factorization.
132327157824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1382 (or 687 counting only the distinct ones).
The product of its digits is 564480, while the sum is 45.
The spelling of 132327157824 in words is "one hundred thirty-two billion, three hundred twenty-seven million, one hundred fifty-seven thousand, eight hundred twenty-four".
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