Answer to Question #268552 in Calculus for K11

Question

Find the smallest positive integer N that satisfies all of the following conditions:

• N is a square.

• N is a cube.

• N is an odd number.

• N is divisible by twelve prime numbers.

How many digits does this number N have?

Answer 1

No sunch number exist because N is divisible by twelve prime number means divisible by 2 and also N is odd number. This is not possible. Any number divisible by 2 means that number is even number.