| Base | Representation |
|---|---|
| bin | 11001101001110000010101… |
| … | …11111100100100000000000 |
| 3 | 21101201202210202010100210000 |
| 4 | 30310320022333210200000 |
| 5 | 24343211230413334100 |
| 6 | 315550305505440000 |
| 7 | 14611336306154442 |
| oct | 1464701277444000 |
| 9 | 241652722110700 |
| 10 | 56410284902400 |
| 11 | 16a7951623a280 |
| 12 | 63b0836340000 |
| 13 | 256260c121470 |
| 14 | dd03b54c2492 |
| 15 | 67c5633c9900 |
| hex | 334e0afe4800 |
56410284902400 has 2880 divisors, whose sum is σ = 249011590988160. Its totient is φ = 12440803737600.
The previous prime is 56410284902359. The next prime is 56410284902407. The reversal of 56410284902400 is 420948201465.
It is a happy number.
56410284902400 is a `hidden beast` number, since 5 + 6 + 41 + 0 + 284 + 90 + 240 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (56410284902407) by changing a digit.
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 239 ways as a sum of consecutive naturals, for example, 43292620149 + ... + 43292621451.
It is an arithmetic number, because the mean of its divisors is an integer number (86462357982).
Almost surely, 256410284902400 is an apocalyptic number.
56410284902400 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 56410284902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124505795494080).
56410284902400 is an abundant number, since it is smaller than the sum of its proper divisors (192601306085760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56410284902400 is a wasteful number, since it uses less digits than its factorization.
56410284902400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1444 (or 1410 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 56410284902400 in words is "fifty-six trillion, four hundred ten billion, two hundred eighty-four million, nine hundred two thousand, four hundred".
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