| Base | Representation |
|---|---|
| bin | 11001110011001011110010… |
| … | …11111100101000110000000 |
| 3 | 21102212202001012221100000010 |
| 4 | 30321211321133211012000 |
| 5 | 24414013231400200100 |
| 6 | 320355205421024520 |
| 7 | 14643625612331166 |
| oct | 1471457137450600 |
| 9 | 242782035840003 |
| 10 | 56734261334400 |
| 11 | 17093957511831 |
| 12 | 64435913b5140 |
| 13 | 25870303b6c30 |
| 14 | 1001d4aa87236 |
| 15 | 685bc5971750 |
| hex | 3399797e5180 |
56734261334400 has 768 divisors, whose sum is σ = 209372199321600. Its totient is φ = 13408328908800.
The previous prime is 56734261334339. The next prime is 56734261334419. The reversal of 56734261334400 is 443316243765.
It is a happy number.
56734261334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 56734261334400.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 491279866 + ... + 491395334.
It is an arithmetic number, because the mean of its divisors is an integer number (272620051200).
Almost surely, 256734261334400 is an apocalyptic number.
56734261334400 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 56734261334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104686099660800).
56734261334400 is an abundant number, since it is smaller than the sum of its proper divisors (152637937987200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56734261334400 is a wasteful number, since it uses less digits than its factorization.
56734261334400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115667 (or 115650 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 48.
The spelling of 56734261334400 in words is "fifty-six trillion, seven hundred thirty-four billion, two hundred sixty-one million, three hundred thirty-four thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.085 sec. • engine limits •