| Base | Representation |
|---|---|
| bin | 110100110000100011… |
| … | …111111110110000000 |
| 3 | 12102012222200111211000 |
| 4 | 310300203333312000 |
| 5 | 1412004211132020 |
| 6 | 42005131252000 |
| 7 | 4043552153550 |
| oct | 646043776600 |
| 9 | 172188614730 |
| 10 | 56649317760 |
| 11 | 22030076992 |
| 12 | ab8b8aa000 |
| 13 | 545a511089 |
| 14 | 2a55883160 |
| 15 | 17184dd090 |
| hex | d308ffd80 |
56649317760 has 768 divisors, whose sum is σ = 242910144000. Its totient is φ = 12188786688.
The previous prime is 56649317759. The next prime is 56649317761. The reversal of 56649317760 is 6771394665.
It is a happy number.
56649317760 is a `hidden beast` number, since 566 + 4 + 9 + 3 + 1 + 7 + 76 + 0 = 666.
56649317760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (56649317759) and next prime (56649317761).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 56649317697 and 56649317706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (56649317761) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360823602 + ... + 360823758.
It is an arithmetic number, because the mean of its divisors is an integer number (316289250).
Almost surely, 256649317760 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 56649317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121455072000).
56649317760 is an abundant number, since it is smaller than the sum of its proper divisors (186260826240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56649317760 is a wasteful number, since it uses less digits than its factorization.
56649317760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 368 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 5715360, while the sum is 54.
The spelling of 56649317760 in words is "fifty-six billion, six hundred forty-nine million, three hundred seventeen thousand, seven hundred sixty".
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