Base | Representation |
---|---|
bin | 100011101011100010… |
… | …0101000110000000000 |
3 | 21022202222020112222120 |
4 | 1013113010220300000 |
5 | 2223410411322320 |
6 | 55111111404240 |
7 | 5351532502434 |
oct | 1072704506000 |
9 | 238688215876 |
10 | 76622760960 |
11 | 2a54a607439 |
12 | 12a24983680 |
13 | 72c154b015 |
14 | 39cc4149c4 |
15 | 1ed6c60440 |
hex | 11d7128c00 |
76622760960 has 176 divisors, whose sum is σ = 245415190272. Its totient is φ = 20404224000.
The previous prime is 76622760941. The next prime is 76622760971. The reversal of 76622760960 is 6906722667.
It is a happy number.
It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12453885 + ... + 12460035.
Almost surely, 276622760960 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 76622760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122707595136).
76622760960 is an abundant number, since it is smaller than the sum of its proper divisors (168792429312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76622760960 is a wasteful number, since it uses less digits than its factorization.
76622760960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6990 (or 6972 counting only the distinct ones).
The product of its (nonzero) digits is 2286144, while the sum is 51.
The spelling of 76622760960 in words is "seventy-six billion, six hundred twenty-two million, seven hundred sixty thousand, nine hundred sixty".
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