An alien base

Number Theory Level pending

A paper drops out of the sky with the following alien equation scribbled on it:

\[D + B = BE = (B + B + B + B)!\]

You have no idea what base they are working in, and you have no idea what digits each of the letters represents.

However, you do know that by some miracle, all of the symbols have the same meaning as they do here on earth (e.g. "plus", "equals", "times", "factorial", "parenthesis").

What is the value of the alien number \(BED\) when written in decimal (and our normal earthling digits \(0-9\))?

If you think there is not enough information, enter the value 99999.

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