Sum of Power

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Problem

8208 is a four digit number and it can be written as sum of fourth power of their digits.

8208=8(pow 4) + 2(pow 4) + 0(pow 4) + 8(pow 4) .

What is the first 5 digit number that is sum of fifth power of their digits .

Time Limit: 5
Memory Limit: 256
Source Limit:
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