| Base | Representation |
|---|---|
| bin | 1110111100001010100… |
| … | …0000001011000000000 |
| 3 | 220112111122202201100000 |
| 4 | 3233002220001120000 |
| 5 | 13201124043414020 |
| 6 | 313524541200000 |
| 7 | 24354323623245 |
| oct | 3570250013000 |
| 9 | 815448681300 |
| 10 | 256668341760 |
| 11 | 999416510a6 |
| 12 | 418b1860000 |
| 13 | 1b28576134c |
| 14 | c5cc2b75cc |
| 15 | 6a2346e090 |
| hex | 3bc2a01600 |
256668341760 has 480 divisors, whose sum is σ = 961970929920. Its totient is φ = 65465376768.
The previous prime is 256668341759. The next prime is 256668341771. The reversal of 256668341760 is 67143866652.
256668341760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 256668341697 and 256668341706.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14298871 + ... + 14316809.
It is an arithmetic number, because the mean of its divisors is an integer number (2004106104).
Almost surely, 2256668341760 is an apocalyptic number.
256668341760 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 256668341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480985464960).
256668341760 is an abundant number, since it is smaller than the sum of its proper divisors (705302588160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256668341760 is an equidigital number, since it uses as much as digits as its factorization.
256668341760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18000 (or 17972 counting only the distinct ones).
The product of its (nonzero) digits is 8709120, while the sum is 54.
The spelling of 256668341760 in words is "two hundred fifty-six billion, six hundred sixty-eight million, three hundred forty-one thousand, seven hundred sixty".
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