Question 15
A very large multiple of 19 ends in the digits 64 and has exactly 133 positive integer factors. Express this number as $n\times a^b$, where $n,a,b$ are integers. What is the smallest possible value of $n+a+b$?
Interpretation: For the intended minimum, take n, a and b to be positive integers. The printed word “integers” without positivity does not define a bounded minimization problem.
Interpretation: For the intended minimum, take n, a and b to be positive integers. The printed word “integers” without positivity does not define a bounded minimization problem.