Problem #167
The Perfectionist Yagami
L gives Light the following challenge and claims that if he is unable to solve it, he is Kira. Help Light deceive L by solving the challenge. A 3-perfect number is defined as a number whose sum of divisors equals thrice that number.you have to fiind the sum of all 3-perfect numbers of the form n = 2^{k}3p that are less than 10^9, where p is an odd prime number and k is positive Integer. Give the answer modulo 10^9+7.