Base | Representation |
---|---|
bin | 100011100110010110… |
… | …0100000111010101100 |
3 | 21022022211122120120200 |
4 | 1013030230200322230 |
5 | 2223031324242020 |
6 | 55041532113500 |
7 | 5344316635002 |
oct | 1071454407254 |
9 | 238284576520 |
10 | 76448665260 |
11 | 2a4703077a0 |
12 | 12996605890 |
13 | 7294463706 |
14 | 39b3256a72 |
15 | 1ec6821590 |
hex | 11ccb20eac |
76448665260 has 144 divisors (see below), whose sum is σ = 253200729600. Its totient is φ = 18516516480.
The previous prime is 76448665243. The next prime is 76448665273. The reversal of 76448665260 is 6256684467.
76448665260 is a `hidden beast` number, since 76 + 4 + 48 + 6 + 6 + 526 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 76448665197 and 76448665206.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2286141 + ... + 2319339.
It is an arithmetic number, because the mean of its divisors is an integer number (1758338400).
Almost surely, 276448665260 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76448665260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126600364800).
76448665260 is an abundant number, since it is smaller than the sum of its proper divisors (176752064340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76448665260 is a wasteful number, since it uses less digits than its factorization.
76448665260 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34388 (or 34383 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 54.
The spelling of 76448665260 in words is "seventy-six billion, four hundred forty-eight million, six hundred sixty-five thousand, two hundred sixty".
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