Project Euler Question 16 in Turkish: Sum of the Digits of the Power of a Number

Project Euler Question 16 in Turkish: Sum of the Digits of the Power of a Number

2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26;
What is the sum of the digits of the number 2^1000?