The number 3,435 has the interesting property where

3,435 = 33^{3} + 44^{4} + 33^{3} + 55^{5}

That is, it equals the sum of its digits each raised to that digit's power.

Find the next larger number with the same property. For this problem, use the convention that 00^{0} = 0.

Thanks to Penguin Dictionary of Curious and Interesting Numbers by David Wells

Click to find the answer to this math puzzle.

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