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208706707489225 = 52112172154512
BaseRepresentation
bin101111011101000101010001…
…001010011000000111001001
31000100222011111021211121121111
4233131011101022120013021
5204323422314104123400
62015514312055410321
761650363526011541
oct5735052112300711
91010864437747544
10208706707489225
1160556021450100
121b4a89120839a1
138c5bc5bb4abba
14397765c340321
15191de18d963ba
hexbdd1512981c9

208706707489225 has 81 divisors (see below), whose sum is σ = 302198986922133. Its totient is φ = 142848821280000.

The previous prime is 208706707489199. The next prime is 208706707489271. The reversal of 208706707489225 is 522984707607802.

The square root of 208706707489225 is 14446685.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4881859317049 + 203824848172176 = 2209493^2 + 14276724^2 .

It is not a de Polignac number, because 208706707489225 - 211 = 208706707487177 is a prime.

It is a super-2 number, since 2×2087067074892252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13507642750 + ... + 13507658200.

Almost surely, 2208706707489225 is an apocalyptic number.

208706707489225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208706707489225 is the 14446685-th square number.

208706707489225 is the 7223343-rd centered octagonal number.

It is an amenable number.

208706707489225 is a deficient number, since it is larger than the sum of its proper divisors (93492279432908).

208706707489225 is an frugal number, since it uses more digits than its factorization.

208706707489225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 15484 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 67.

The spelling of 208706707489225 in words is "two hundred eight trillion, seven hundred six billion, seven hundred seven million, four hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 289 425 605 935 1445 2057 3025 3179 4675 7225 10285 15451 15895 34969 51425 77255 79475 169961 174845 262667 386275 849805 874225 1313335 1869571 2889337 4249025 4465339 6566675 9347855 14446685 22326695 31782707 46739275 49118729 72233425 111633475 158913535 238733401 245593645 540306019 794567675 1193667005 1227968225 2626067411 2701530095 4058467817 5968335025 13130337055 13507650475 20292339085 28886741521 44643145987 65651685275 68993952889 101461695425 144433707605 223215729935 344969764445 491074605857 722168538025 758933481779 1116078649675 1724848822225 2455373029285 3794667408895 8348268299569 12276865146425 18973337044475 41741341497845 208706707489225