| Base | Representation |
|---|---|
| bin | 101111101100101000101001… |
| … | …010010011001110010100000 |
| 3 | 1000111202100012020221221122100 |
| 4 | 233230220221102121302200 |
| 5 | 204443430143223030222 |
| 6 | 2022053305542410400 |
| 7 | 62120531041021233 |
| oct | 5754505122316240 |
| 9 | 1014670166857570 |
| 10 | 209775485361312 |
| 11 | 609283137182a2 |
| 12 | 1b63ba89730a00 |
| 13 | 90089882bca70 |
| 14 | 39b328ad4d41a |
| 15 | 193bb1d7b14ac |
| hex | beca29499ca0 |
209775485361312 has 288 divisors, whose sum is σ = 649979994540240. Its totient is φ = 63789217873920.
The previous prime is 209775485361307. The next prime is 209775485361329. The reversal of 209775485361312 is 213163584577902.
209775485361312 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 7 + 5 + 4 + 8 + 5 + 3 + 613 + 1 + 2 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 127290654323856 + 82484831037456 = 11282316^2 + 9082116^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×2097754853613122 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 209775485361312.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671940612 + ... + 672252732.
It is a 1-persistent number, because it is pandigital, but 2⋅209775485361312 = 419550970722624 is not.
Almost surely, 2209775485361312 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 209775485361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324989997270120).
209775485361312 is an abundant number, since it is smaller than the sum of its proper divisors (440204509178928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209775485361312 is a wasteful number, since it uses less digits than its factorization.
209775485361312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 314256 (or 314245 counting only the distinct ones).
The product of its (nonzero) digits is 76204800, while the sum is 63.
The spelling of 209775485361312 in words is "two hundred nine trillion, seven hundred seventy-five billion, four hundred eighty-five million, three hundred sixty-one thousand, three hundred twelve".
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