The 4th Quite Challenging Number Game

Number Theory Level pending

Tired? ....How many 6-digit numbers satisfy:

a b c d e f ‾ = a 6 + b 6 + c 6 + d 6 + e 6 + f 6 \overline { abcdef } ={ a }^{ 6 }+{ b }^{ 6 }+{ c }^{ 6 }+{ d }^{ 6 }+{ e }^{ 6 }+{ f }^{ 6 }

Surprisingly, there's only one number. So...

Find a + b + c + d + e + f \\ a+b+c+d+e+f\\ .

This is one of my problems in Game Of Numbers.


The answer is 32.

Đức Huy Là Ta by Đức Huy Là Ta , 21, Vietnam

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