| Base | Representation |
|---|---|
| bin | 1011111100100110011… |
| … | …1000111101010000000 |
| 3 | 201121202221102221222200 |
| 4 | 2333021213013222000 |
| 5 | 11330320430011204 |
| 6 | 234142204433200 |
| 7 | 20554120455531 |
| oct | 2771147075200 |
| 9 | 647687387880 |
| 10 | 205245938304 |
| 11 | 7a053a88300 |
| 12 | 33940548800 |
| 13 | 1647c0ca794 |
| 14 | 9d10ac2688 |
| 15 | 5513cab539 |
| hex | 2fc99c7a80 |
205245938304 has 288 divisors, whose sum is σ = 677426349600. Its totient is φ = 59490647040.
The previous prime is 205245938251. The next prime is 205245938341. The reversal of 205245938304 is 403839542502.
205245938304 is a `hidden beast` number, since 2 + 0 + 5 + 24 + 593 + 8 + 30 + 4 = 666.
205245938304 is digitally balanced in base 2, 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 (288).
It is a self number, because there is not a number n which added to its sum of digits gives 205245938304.
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 35 ways as a sum of consecutive naturals, for example, 3174007 + ... + 3238025.
It is an arithmetic number, because the mean of its divisors is an integer number (2352174825).
Almost surely, 2205245938304 is an apocalyptic number.
205245938304 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 205245938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338713174800).
205245938304 is an abundant number, since it is smaller than the sum of its proper divisors (472180411296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205245938304 is a wasteful number, since it uses less digits than its factorization.
205245938304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64084 (or 64058 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 205245938304 in words is "two hundred five billion, two hundred forty-five million, nine hundred thirty-eight thousand, three hundred four".
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