Base | Representation |
---|---|
bin | 111101011111010000… |
… | …1111111011011001000 |
3 | 110121211111002111220200 |
4 | 1322332201333123020 |
5 | 4130412133203311 |
6 | 140354431252200 |
7 | 12353133041040 |
oct | 1727641773310 |
9 | 417744074820 |
10 | 132045600456 |
11 | 51000332020 |
12 | 2171197a060 |
13 | c5b49268c3 |
14 | 6569034720 |
15 | 367c732556 |
hex | 1ebe87f6c8 |
132045600456 has 96 divisors (see below), whose sum is σ = 445868280000. Its totient is φ = 34297557120.
The previous prime is 132045600439. The next prime is 132045600457. The reversal of 132045600456 is 654006540231.
132045600456 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 5 + 600 + 45 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 132045600456.
It is not an unprimeable number, because it can be changed into a prime (132045600457) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11903331 + ... + 11914418.
It is an arithmetic number, because the mean of its divisors is an integer number (4644461250).
Almost surely, 2132045600456 is an apocalyptic number.
It is an amenable number.
132045600456 is an abundant number, since it is smaller than the sum of its proper divisors (313822679544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132045600456 is a wasteful number, since it uses less digits than its factorization.
132045600456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23817779 (or 23817772 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 132045600456 in words is "one hundred thirty-two billion, forty-five million, six hundred thousand, four hundred fifty-six".
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