in python please

- A positive integer is called a perfect number if it is equal to the sum of all of its positive divisors, excluding itself. For example, 6 is perfect number since 6=1+2+3. The next is 28=1+2+4+7+12. There are four perfect numbers less than 10,000 . Write a program that prints all these four numbers. - Your program should have a function called is_perfect that takes as input a positive integers and returns True if it is perfect and False otherwise. - Once you are done. Modify your program so that it looks for all perfect numbers smaller than 35 million. What do you notice? Assuming that you computer can do a billion instructions in a sec, can you figure out how long, roughly, will it take your computer to find 5th perfect number (it is 33,550,336 ). Is the answer roughly: couple of minutes, couple of hours, couple of days, ... weeks, months, years ? - 15 What if you wanted to wait until it prints 6th perfect number, which is 15 8,589,869,056