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66390562566272 = 2772101771040113
BaseRepresentation
bin11110001100001110000011…
…11001011111000010000000
322201001212122110022010120202
433012013001321133002000
532200220333004110042
6353111223044424332
716661363013455600
oct1706070171370200
9281055573263522
1066390562566272
111a17709685224a
127542b290a80a8
132b077ac27c2b9
14125746b166c00
157a1e86b4c632
hex3c61c1e5f080

66390562566272 has 96 divisors (see below), whose sum is σ = 153871584044220. Its totient is φ = 28450275065856.

The previous prime is 66390562566241. The next prime is 66390562566353. The reversal of 66390562566272 is 27266526509366.

It can be written as a sum of positive squares in 2 ways, for example, as 66253999798336 + 136562767936 = 8139656^2 + 369544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66390562566199 and 66390562566208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63310088 + ... + 64350200.

Almost surely, 266390562566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66390562566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76935792022110).

66390562566272 is an abundant number, since it is smaller than the sum of its proper divisors (87481021477948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66390562566272 is a wasteful number, since it uses less digits than its factorization.

66390562566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050318 (or 1050299 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 65.

The spelling of 66390562566272 in words is "sixty-six trillion, three hundred ninety billion, five hundred sixty-two million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 10177 20354 40708 71239 81416 142478 162832 284956 325664 498673 569912 651328 997346 1040113 1139824 1302656 1994692 2080226 2279648 3989384 4160452 4559296 7280791 7978768 8320904 9118592 14561582 15957536 16641808 29123164 31915072 33283616 50965537 58246328 63830144 66567232 101931074 116492656 133134464 203862148 232985312 407724296 465970624 815448592 931941248 1630897184 3261794368 6523588736 10585230001 21170460002 42340920004 74096610007 84681840008 148193220014 169363680016 296386440028 338727360032 518676270049 592772880056 677454720064 1037352540098 1185545760112 1354909440128 2074705080196 2371091520224 4149410160392 4742183040448 8298820320784 9484366080896 16597640641568 33195281283136 66390562566272