| Base | Representation |
|---|---|
| bin | 1011111101010000010… |
| … | …0111011000111010000 |
| 3 | 201122020011211121110200 |
| 4 | 2333110010323013100 |
| 5 | 11331200402222113 |
| 6 | 234211440055200 |
| 7 | 20561352065463 |
| oct | 2772404730720 |
| 9 | 648204747420 |
| 10 | 205421523408 |
| 11 | 7a134104a62 |
| 12 | 3398b304500 |
| 13 | 164a95b6caa |
| 14 | 9d2a14b2da |
| 15 | 55243e1873 |
| hex | 2fd413b1d0 |
205421523408 has 240 divisors, whose sum is σ = 617153780880. Its totient is φ = 63557074944.
The previous prime is 205421523389. The next prime is 205421523421. The reversal of 205421523408 is 804325124502.
205421523408 is a `hidden beast` number, since 20 + 54 + 21 + 523 + 40 + 8 = 666.
205421523408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 4333852224 + 201087671184 = 65832^2 + 448428^2 .
It is a super-3 number, since 3×2054215234083 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 75272188 + ... + 75274916.
It is an arithmetic number, because the mean of its divisors is an integer number (2571474087).
Almost surely, 2205421523408 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 205421523408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308576890440).
205421523408 is an abundant number, since it is smaller than the sum of its proper divisors (411732257472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205421523408 is a wasteful number, since it uses less digits than its factorization.
205421523408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3174 (or 3165 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The spelling of 205421523408 in words is "two hundred five billion, four hundred twenty-one million, five hundred twenty-three thousand, four hundred eight".
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