Owlet puzzle #68
Released Friday, September 11, 2026 UTC
3628800
the answer for puzzle #68
The five clues
- A seven-digit highly composite number.
- A seven-digit factorial.
- The number of ways to arrange ten distinct objects in a line.
- Its digits sum to 27.
- Its prime factorization is 2⁸ · 3⁴ · 5² · 7.
Backstory
10! = 3,628,800 arrangements of 10 objects. If you shuffled a 10-card deck once a second, running through every order would take 42 days. Its prime factorization is 2⁸ · 3⁴ · 5² · 7, with trailing-zero count v₅ = 2.
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