# Challenge Accepted

**Number Theory**Level 4

Find the smallest positive integer n such that

(i) \(n\) has exactly 144 distinct positive divisors, and

(ii) there are ten consecutive integers among the positive divisors of \(n\).

(i) \(n\) has exactly 144 distinct positive divisors, and

(ii) there are ten consecutive integers among the positive divisors of \(n\).

(IMO)

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