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$\large A= \displaystyle\prod_{l=1}^{7}\prod_{k=1}^{l}\prod_{j=1}^{k}\prod_{i=1}^{j} 64$

If $A$ can be written as $B^C$, where $B$ and $C$ are integers with $B$ is a prime number. Find $B+C$

Bonus: Generalise this product.

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