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2002 AMC 10B Question 14

AMC10 · 2002 AMC 10B

Question 14

The number $25^{64} \cdot 64^{25}$ is the square of a positive integer $N.$ In decimal representation, what is the sum of the digits of $N?$
  1. $7$
  2. $14$
  3. $21$
  4. $28$
  5. $35$