This question doesn't make sense.
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The answer is an infinitely sized number. The largest number with 10 factors cannot be determined as it would equate to the product of the ten largest prime numbers. It has been proved that there is no maximum prime number.
29 = 512 so the largest integer would be 511. 511 is composite, but 509 is prime and so the answer.
I assume you mean twin prime. It is currently unknown whether or not there are an infinite number of twin primes in which case there would be no largest twin prime. The largest discovered is 65516468355 · 2333333 ± 1 (so the bigger of the two is 65516468355 · 2333333 + 1).
The largest number that can be expressed in six bit binary is 111111, or 63. That however is not prime. Counting down from there, we can see that the first prime below that is 61, which is the answer to the question. Expressed in binary, that would be 111101.
it wouldn't equal anything its a prime number but of course it would be only 2x1