A. What is the lowest base 12 positive integer that has exactly 10 (base 12) distinct positive factors?

B. Exactly 1,000 (base 12) distinct positive factors?

C. Exactly 1,000,000 (base 12) distinct positive factors?

For example, the distinct positive factors of 40 (base 12) are the base 12 numbers 1, 2, 3, 4, 6, 8, 10, 14, 20, and 40. Accordingly, 40 (base 12) has precisely A (base 12) distinct positive factors.

(In reply to re: Part C by Charlie)

130,085,492,110,229,957,747,846,400 is equal to 1777769b4b2199b7304790000  in the base 12 notation.

Edited on February 28, 2024, 12:49 am

Posted by K Sengupta on 2024-02-28 00:48:35