| Base | Representation |
|---|---|
| bin | 1111000001010011100… |
| … | …1110100110110000000 |
| 3 | 220200001212020020202000 |
| 4 | 3300110321310312000 |
| 5 | 13211440434200421 |
| 6 | 314313532024000 |
| 7 | 24433455051123 |
| oct | 3602471646600 |
| 9 | 820055206660 |
| 10 | 258048740736 |
| 11 | 9a48a8722a6 |
| 12 | 42018002000 |
| 13 | 1b445739187 |
| 14 | c6bd7663ba |
| 15 | 6aa4741226 |
| hex | 3c14e74d80 |
258048740736 has 96 divisors (see below), whose sum is σ = 761690334600. Its totient is φ = 86006292480.
The previous prime is 258048740659. The next prime is 258048740753. The reversal of 258048740736 is 637047840852.
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.
258048740736 is a `hidden beast` number, since 2 + 58 + 0 + 487 + 40 + 73 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29858976 + ... + 29867616.
Almost surely, 2258048740736 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 258048740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380845167300).
258048740736 is an abundant number, since it is smaller than the sum of its proper divisors (503641593864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258048740736 is an frugal number, since it uses more digits than its factorization.
258048740736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17305 (or 8646 counting only the distinct ones).
The product of its (nonzero) digits is 9031680, while the sum is 54.
Multiplying 258048740736 by its sum of digits (54), we get a square (13934631999744 = 37329122).
258048740736 divided by its sum of digits (54) gives a square (4778680384 = 691282).
The spelling of 258048740736 in words is "two hundred fifty-eight billion, forty-eight million, seven hundred forty thousand, seven hundred thirty-six".
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