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c - storing more than 2 power 31 on a 32-bit system

I have to write a program that can calculate the powers of 2 power 2010 and to find the sum of the digits. eg:

if `2 power 12 => gives 4096 . So 4+0+9+6 = 19 . 

Now i need to find the same for 2 power 2010.

Please help me to understand.

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Here's something to get you started:

char buf[2010]; // 2^2010 < 10^2010 by a huge margin, so buffer size is safe
snprintf(buf, sizeof buf, "%.0Lf", 0x1p2010L);

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