| Base | Representation |
|---|---|
| bin | 1110111001110110101… |
| … | …0000110000000000000 |
| 3 | 220110220102201121000000 |
| 4 | 3232131222012000000 |
| 5 | 13143341310044000 |
| 6 | 313343224000000 |
| 7 | 24333053115000 |
| oct | 3563552060000 |
| 9 | 813812647000 |
| 10 | 256048128000 |
| 11 | 99653547345 |
| 12 | 4175a000000 |
| 13 | 1b1b7108c62 |
| 14 | c56db8c000 |
| 15 | 69d8cac000 |
| hex | 3b9da86000 |
256048128000 has 1568 divisors, whose sum is σ = 1117373025600. Its totient is φ = 58525286400.
The previous prime is 256048127983. The next prime is 256048128001. The reversal of 256048128000 is 821840652.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Jordan-Polya number, since it can be written as (7!)3 ⋅ 2!.
256048128000 is a `hidden beast` number, since 2 + 560 + 4 + 8 + 12 + 80 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1568).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (256048128001) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36578303997 + ... + 36578304003.
Almost surely, 2256048128000 is an apocalyptic number.
256048128000 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 256048128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558686512800).
256048128000 is an abundant number, since it is smaller than the sum of its proper divisors (861324897600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256048128000 is an frugal number, since it uses more digits than its factorization.
256048128000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
Adding to 256048128000 its reverse (821840652), we get a palindrome (256869968652).
The spelling of 256048128000 in words is "two hundred fifty-six billion, forty-eight million, one hundred twenty-eight thousand".
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