4,478,976

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Number

$4 \, 478 \, 976$ (four million, four hundred and seventy-eight thousand, nine hundred and seventy-six) is:

$2^{11} \times 3^7$

The smallest $r$ satisfying the Diophantine equation $p^p \times q^q = r^r$:

$2 \, 985 \, 984^{2 \, 985 \, 984} \times 1 \, 679 \, 616^{1 \, 679 \, 616} = 4 \, 478 \, 976^{4 \, 478 \, 976}$

Also see

• Smallest Solution to Equation $p^p \times q^q = r^r$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $4,478,976$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4,478,976$