| Base | Representation |
|---|---|
| bin | 101110100111001110000000… |
| … | …110110110111110011111000 |
| 3 | 222212212022101001210011110000 |
| 4 | 232213032000312313303320 |
| 5 | 203332301220420422100 |
| 6 | 2004002035415153000 |
| 7 | 61116066050261340 |
| oct | 5647160066676370 |
| 9 | 885768331704400 |
| 10 | 205005245873400 |
| 11 | 5a359266902175 |
| 12 | 1abab482075760 |
| 13 | 8a50bb110b03b |
| 14 | 388a441d91d20 |
| 15 | 18a79cc0d3900 |
| hex | ba7380db7cf8 |
205005245873400 has 960 divisors, whose sum is σ = 863946932428800. Its totient is φ = 43981648220160.
The previous prime is 205005245873381. The next prime is 205005245873473. The reversal of 205005245873400 is 4378542500502.
205005245873400 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 0 + 5 + 24 + 587 + 3 + 40 + 0 = 666.
205005245873400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2050052458734002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 707357721 + ... + 707647479.
It is an arithmetic number, because the mean of its divisors is an integer number (899944721280).
Almost surely, 2205005245873400 is an apocalyptic number.
205005245873400 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 205005245873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431973466214400).
205005245873400 is an abundant number, since it is smaller than the sum of its proper divisors (658941686555400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205005245873400 is a wasteful number, since it uses less digits than its factorization.
205005245873400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290178 (or 290160 counting only the distinct ones).
The product of its (nonzero) digits is 1344000, while the sum is 45.
The spelling of 205005245873400 in words is "two hundred five trillion, five billion, two hundred forty-five million, eight hundred seventy-three thousand, four hundred".
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