| Base | Representation |
|---|---|
| bin | 11001101010111001000010… |
| … | …11001110011100000000000 |
| 3 | 21101212111112212020102102000 |
| 4 | 30311130201121303200000 |
| 5 | 24344331144242142000 |
| 6 | 320020242500424000 |
| 7 | 14614220443402203 |
| oct | 1465344131634000 |
| 9 | 241774485212360 |
| 10 | 56449315584000 |
| 11 | 16a94025020029 |
| 12 | 63b83096a8000 |
| 13 | 25661bc419b31 |
| 14 | dd223904b93a |
| 15 | 67d599c41000 |
| hex | 335721673800 |
56449315584000 has 1536 divisors, whose sum is σ = 216262545408000. Its totient is φ = 14510555136000.
The previous prime is 56449315583963. The next prime is 56449315584047. The reversal of 56449315584000 is 48551394465.
56449315584000 is a `hidden beast` number, since 5 + 6 + 4 + 49 + 3 + 1 + 558 + 40 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×564493155840002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99207935716 + ... + 99207936284.
It is an arithmetic number, because the mean of its divisors is an integer number (140795928000).
Almost surely, 256449315584000 is an apocalyptic number.
56449315584000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 56449315584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108131272704000).
56449315584000 is an abundant number, since it is smaller than the sum of its proper divisors (159813229824000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56449315584000 is a wasteful number, since it uses less digits than its factorization.
56449315584000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1109 (or 1073 counting only the distinct ones).
The product of its (nonzero) digits is 10368000, while the sum is 54.
The spelling of 56449315584000 in words is "fifty-six trillion, four hundred forty-nine billion, three hundred fifteen million, five hundred eighty-four thousand".
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