Problem Statement 
 It is a well known fact that of all numbers, the number 4 is the most relevant. Patterns related to the number 4 tend to appear everywhere. For example, the numerical perfection level is closely related to the number 4.
We define the perfection level of a positive integer N as k if N can be expressed as a product of 4 positive integers, each with a perfection level of at least (k1), and cannot be expressed as a product of 4 positive integers, each with a perfection level greater than (k1). There is one exception  if it is not possible to express N as a product of 4 positive integers all greater than 1, then the perfection level of N is 0.
Given a long N, return its perfection level. 

Definition 
 Class:  NumericalPerfectionLevel  Method:  getLevel  Parameters:  long  Returns:  int  Method signature:  int getLevel(long N)  (be sure your method is public) 




Constraints 
  N will be between 1 and 10000000000000 (10^13), inclusive. 

Examples 
0)  
  Returns: 0  4 cannot be expressed as a product of 4 numbers all greater than 1. 


1)  
  Returns: 1  144 = 4 x 2 x 3 x 6
The level of 4, 2, 3 and 6 is 0.



2)  
  Returns: 1  One of many possible ways to express 1152 is:
1152 = 144 x 2 x 2 x 2
Although 144's level is 1, the remaining factors are of level 0. There is no way to express 1152 as a product of four level 1 numbers.



3)  
  Returns: 2  1679616 = 36 x 36 x 36 x 36
36 = 2 x 2 x 3 x 3 

