| Base | Representation |
|---|---|
| bin | 1110111100101110100… |
| … | …1011001011000001000 |
| 3 | 220112220012120100220120 |
| 4 | 3233023221121120020 |
| 5 | 13201431320302120 |
| 6 | 313551545223240 |
| 7 | 24361142256525 |
| oct | 3571351313010 |
| 9 | 815805510816 |
| 10 | 256819697160 |
| 11 | 99a0a029704 |
| 12 | 41934491b20 |
| 13 | 1b2aac16160 |
| 14 | c60443614c |
| 15 | 6a318ba140 |
| hex | 3bcba59608 |
256819697160 has 256 divisors, whose sum is σ = 861469378560. Its totient is φ = 60822282240.
The previous prime is 256819697131. The next prime is 256819697213. The reversal of 256819697160 is 61796918652.
256819697160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2568196971602 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a junction number, because it is equal to n+sod(n) for n = 256819697094 and 256819697103.
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 63 ways as a sum of consecutive naturals, for example, 8350932 + ... + 8381628.
It is an arithmetic number, because the mean of its divisors is an integer number (3365114760).
Almost surely, 2256819697160 is an apocalyptic number.
256819697160 is a gapful number since it is divisible by the number (20) 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 256819697160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430734689280).
256819697160 is an abundant number, since it is smaller than the sum of its proper divisors (604649681400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256819697160 is a wasteful number, since it uses less digits than its factorization.
256819697160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30928 (or 30924 counting only the distinct ones).
The product of its (nonzero) digits is 9797760, while the sum is 60.
The spelling of 256819697160 in words is "two hundred fifty-six billion, eight hundred nineteen million, six hundred ninety-seven thousand, one hundred sixty".
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