| Base | Representation |
|---|---|
| bin | 1011111101000000010… |
| … | …1011100111011010000 |
| 3 | 201122001111211011101200 |
| 4 | 2333100011130323100 |
| 5 | 11331031231144130 |
| 6 | 234201044431200 |
| 7 | 20556606620550 |
| oct | 2772005347320 |
| 9 | 648044734350 |
| 10 | 205354553040 |
| 11 | 7a0aa32314a |
| 12 | 339709a8500 |
| 13 | 16498769460 |
| 14 | 9d212b7160 |
| 15 | 551d5b3760 |
| hex | 2fd015ced0 |
205354553040 has 480 divisors, whose sum is σ = 868550242560. Its totient is φ = 42319355904.
The previous prime is 205354553039. The next prime is 205354553167. The reversal of 205354553040 is 40355453502.
205354553040 is a `hidden beast` number, since 2 + 0 + 53 + 54 + 553 + 0 + 4 + 0 = 666.
205354553040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 205354552986 and 205354553004.
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 95 ways as a sum of consecutive naturals, for example, 2780916 + ... + 2853804.
It is an arithmetic number, because the mean of its divisors is an integer number (1809479672).
Almost surely, 2205354553040 is an apocalyptic number.
205354553040 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 205354553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434275121280).
205354553040 is an abundant number, since it is smaller than the sum of its proper divisors (663195689520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205354553040 is a wasteful number, since it uses less digits than its factorization.
205354553040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72971 (or 72962 counting only the distinct ones).
The product of its (nonzero) digits is 180000, while the sum is 36.
The spelling of 205354553040 in words is "two hundred five billion, three hundred fifty-four million, five hundred fifty-three thousand, forty".
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