A highly powerful number is defined as a positive integer \( n \) such that for every prime \( p \) that divides \( n \), \( p^2 \) also divides \( n \). In other words, in the prime factorization of a highly powerful number, each prime factor appears with an exponent of at least 2.

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  1. Integer sequences
  2. Numbers
  3. Arithmetic
  4. Fields of mathematics
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