maths Maths Puzzle

Evaluate 22004 (modulo 2004).

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maths Other Question

Given that 37! = 13763753091226345046315979581abcdefgh0000000, determine, with a minimum of arithmetical effort, the digits a, b, c, d, e, f, g, and h. A perfect square has length n if its last n (decimal) digits are the same and non-zero. What is the maximum possible length? Find all squares that achieve this length.