48,988,659,276,962,496
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Number
$48 \, 988 \, 659 \, 276 \, 962 \, 496$ is:
- $2^6 \times 3^3 \times 7^4 \times 13 \times 19 \times 43 \times 73 \times 97 \times 157$
- The $5$th Hardy-Ramanujan number after $2$, $1729$, $87 \, 539 \, 319$, $6 \, 963 \, 472 \, 309 \, 248$: the smallest positive integer which can be expressed as the sum of $2$ cubes in $5$ different ways:
| \(\ds \qquad \ \ \) | \(\ds 48 \, 988 \, 659 \, 276 \, 962 \, 496\) | \(=\) | \(\ds 38 \, 787^3 + 365 \, 757^3\) | |||||||||||
| \(\ds \) | \(=\) | \(\ds 107 \, 839^3 + 362 \, 753^3\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 205 \, 292^3 + 342 \, 952^3\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 221 \, 424^3 + 336 \, 588^3\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 231 \, 518^3 + 331 \, 954^3\) |
Also see
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $48,988,659,276,962,496$