| Base | Representation |
|---|---|
| bin | 1110111010110011010… |
| … | …1101101010011000000 |
| 3 | 220111120011222211112110 |
| 4 | 3232230311231103000 |
| 5 | 13144402011041114 |
| 6 | 313424403055320 |
| 7 | 24342265054500 |
| oct | 3565465552300 |
| 9 | 814504884473 |
| 10 | 256302830784 |
| 11 | 997742a2310 |
| 12 | 4180b371540 |
| 13 | 1b227b07070 |
| 14 | c59592da00 |
| 15 | 6a0131e759 |
| hex | 3bacd6d4c0 |
256302830784 has 672 divisors, whose sum is σ = 942761030400. Its totient is φ = 60390973440.
The previous prime is 256302830783. The next prime is 256302830789. The reversal of 256302830784 is 487038203652.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×2563028307843 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 not an unprimeable number, because it can be changed into a prime (256302830783) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79373682 + ... + 79376910.
It is an arithmetic number, because the mean of its divisors is an integer number (1402918200).
Almost surely, 2256302830784 is an apocalyptic number.
256302830784 is a gapful number since it is divisible by the number (24) 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 256302830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471380515200).
256302830784 is an abundant number, since it is smaller than the sum of its proper divisors (686458199616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256302830784 is a wasteful number, since it uses less digits than its factorization.
256302830784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3341 (or 3324 counting only the distinct ones).
The product of its (nonzero) digits is 1935360, while the sum is 48.
The spelling of 256302830784 in words is "two hundred fifty-six billion, three hundred two million, eight hundred thirty thousand, seven hundred eighty-four".
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