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The greatest number formed by rearranging the digits is 97514.

There are, however, much larger even number. For example, 954^71 is a number that is larger than googol squared. And 4^(71^95) is very much larger.

<<>>

97541> 97514 . . .

How about 4 to the power 5 to the power 7 to the power 91.

Or how about 4! to the power 5! to the power 7! to the power 91!.

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Q: What is the greatest even number you can make using the digits 9 1 5 7 4?

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It is 999999998.

The greatest 4-digit number with no repeated digits is... 9876

88888 888...

To be an even number then the final digit = 2. The largest single prime digit is 7 (as both 8 and 9 are composite). The greatest even number fulfilling the conditions is 77777772.

8642

987,654

98,764

98,764

985,316

987,654

24

1368

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