146,361,946,186,458,562,560,000

Number

$146 \, 361 \, 946 \, 186 \, 458 \, 562 \, 560 \, 000$ is:

$2^{18} \times 3 \times 5^4 \times 7 \times 11 \times 13 \times 19 \times 37 \times 79 \times 109 \times 157 \times 313$

The $5$th and largest known unitary perfect number after $6$, $60$, $90$, $87 \, 360$:

$\ds \quad \ \ $

$\ds 146 \, 361 \, 946 \, 186 \, 458 \, 562 \, 560 \, 000$

$=$

$\ds \left({2^{18} + 1}\right) \times \left({3 + 1}\right) \times \left({5^4 + 1}\right)$

$\ds $

$\, \ds \times \, $

$\ds \left({7 + 1}\right) \times \left({11 + 1}\right) \times \left({13 + 1}\right)$

$\ds $

$\, \ds \times \, $

$\ds \left({19 + 1}\right) \times \left({37 + 1}\right) \times \left({79 + 1}\right)$

$\ds $

$\, \ds \times \, $

$\ds \left({109 + 1}\right) \times \left({157 + 1}\right) \times \left({313 + 1}\right)$

$\ds $

$\, \ds - \, $

$\ds 146 \, 361 \, 946 \, 186 \, 458 \, 562 \, 560 \, 000$