6,963,472,309,248

Number

$6 \, 963 \, 472 \, 309 \, 248$ is:

$2^{10} \times 3^3 \times 7 \times 13 \times 19 \times 31 \times 37 \times 127$

The $4$th Hardy-Ramanujan number after $2$, $1729$, $87 \, 539 \, 319$: the smallest positive integer which can be expressed as the sum of $2$ cubes in $4$ different ways:

$\ds \qquad \ \ $

$\ds 6 \, 963 \, 472 \, 309 \, 248 = \map {\mathrm {Ta} } 4$

$=$

$\ds 2421^3 + 19 \, 083^3$

$\ds $

$=$

$\ds 5436^3 + 18 \, 948^3$

$\ds $

$=$

$\ds 10 \, 200^3 + 18 \, 072^3$

$\ds $

$=$

$\ds 13 \, 322^3 + 16 \, 630^3$