| Base | Representation |
|---|---|
| bin | 11000101011110010110101… |
| … | …11010111001101010000000 |
| 3 | 21010012020120122222011222210 |
| 4 | 30111321122322321222000 |
| 5 | 24103321121422424200 |
| 6 | 311240254535502120 |
| 7 | 14301460522552200 |
| oct | 1425713272715200 |
| 9 | 233166518864883 |
| 10 | 54281322076800 |
| 11 | 16328641223895 |
| 12 | 6108100b27940 |
| 13 | 243992583a140 |
| 14 | d593311d0400 |
| 15 | 641ead65e650 |
| hex | 315e5aeb9a80 |
54281322076800 has 2304 divisors, whose sum is σ = 239441532261120. Its totient is φ = 10686490214400.
The previous prime is 54281322076799. The next prime is 54281322076901. The reversal of 54281322076800 is 867022318245.
54281322076800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 54281322076800.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5766628894 + ... + 5766638306.
It is an arithmetic number, because the mean of its divisors is an integer number (103924276155).
Almost surely, 254281322076800 is an apocalyptic number.
54281322076800 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 54281322076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119720766130560).
54281322076800 is an abundant number, since it is smaller than the sum of its proper divisors (185160210184320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54281322076800 is a wasteful number, since it uses less digits than its factorization.
54281322076800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9531 (or 9507 counting only the distinct ones).
The product of its (nonzero) digits is 1290240, while the sum is 48.
The spelling of 54281322076800 in words is "fifty-four trillion, two hundred eighty-one billion, three hundred twenty-two million, seventy-six thousand, eight hundred".
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