# Product of Multiple Products?

Algebra Level 5

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

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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