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Let n = 2a × 3b. The number n2 has exactly 63 positive divisors, n is divisible by 24 × 33, and n is not divisible by 25. What is n?

Let n = 2^a × 3^b. The number n² has exactly 63 positive divisors, n is divisible by 2⁴ × 3³, and n is not divisible by 2⁵. What is n?