Hi,
Page 10 of the app note has a suitable/similar schematic. The n8281 has an equivalent part NTE 74177, not sure but look like pretty old ICs, still available to buy though.
The obsolete 558 (open collector output) also has a long time delay schematic on the NXP datasheet, page 4, link below.
Maybe you could look at the CD4060 and perhaps cascade two if necessary to get 10 outputs (and cascade to slow down even more if one IC can't manage a 16 hour pulse). If that can work for you, then no need for the 555 - hopefully less parts! Also, a flip-flop IC can be placed on an output to halve frequency if need be.
**broken link removed**
The accuracy may be a bit non-ideal over such long time delays, perhaps, so helpful may be reviewing ideal passive components for this type of circuit, also described in the 555 app note.
Using a CD4060 or two (or TTL equivalent part) means you can use a crystal oscillator, which would improve timing accuracy/repeatability very much.
I think you could use a single pole 4-way rotary switch, and probably even a cheap one if you only need four outputs and contact resistance is irrelevant to the application.