| Base | Representation |
|---|---|
| bin | 111100001110001000111011… |
| … | …010010100100110000000000 |
| 3 | 1021201202211121212101000000000 |
| 4 | 330032020323102210300000 |
| 5 | 234203333402142000000 |
| 6 | 2335144242000000000 |
| 7 | 106534050060530235 |
| oct | 7416107322446000 |
| 9 | 1251684555330000 |
| 10 | 264854448000000 |
| 11 | 77433160178021 |
| 12 | 25856696900000 |
| 13 | b4a288a020131 |
| 14 | 4959048da378c |
| 15 | 2094713000000 |
| hex | f0e23b4a4c00 |
264854448000000 has 2310 divisors, whose sum is σ = 1028100746157628. Its totient is φ = 68192409600000.
The previous prime is 264854447999983. The next prime is 264854448000011. The reversal of 264854448000000 is 844458462.
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.
264854448000000 is a `hidden beast` number, since 2 + 64 + 8 + 544 + 48 + 0 + 0 + 0 + 0 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 264854448000000.
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 209 ways as a sum of consecutive naturals, for example, 9132911999986 + ... + 9132912000014.
Almost surely, 2264854448000000 is an apocalyptic number.
264854448000000 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 264854448000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514050373078814).
264854448000000 is an abundant number, since it is smaller than the sum of its proper divisors (763246298157628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264854448000000 is an frugal number, since it uses more digits than its factorization.
264854448000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 983040, while the sum is 45.
The spelling of 264854448000000 in words is "two hundred sixty-four trillion, eight hundred fifty-four billion, four hundred forty-eight million", and thus it is an aban number.
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