So is there any way to derive or calculate the number representation from btc address that coresponds to its private key hex?
Please clarify whether I am understanding your question correctly. Do you want to know if the following equation has a solution?
hash_function(x) = x
It could have, as no theory that I am aware of can demonstrate that it has no solution. It goes without saying that until you break the hash function, you cannot find the answer.