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5086127680305 = 3571012697972237
BaseRepresentation
bin100101000000011010011…
…0101010110101100110001
3200000020011222112121112120
41022000310311112230301
51131312342141232210
614452311303344453
71033313661651660
oct112006465265461
920006158477476
105086127680305
111691018531541
126a1885a52129
132ab80987a7c9
14138254288dd7
158c47db49270
hex4a034d56b31

5086127680305 has 128 divisors (see below), whose sum is σ = 9443394616320. Its totient is φ = 2289606758400.

The previous prime is 5086127680297. The next prime is 5086127680327. The reversal of 5086127680305 is 5030867216805.

It is a happy number.

5086127680305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5086127680305 - 23 = 5086127680297 is a prime.

It is a super-3 number, since 3×50861276803053 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2273636647 + ... + 2273638883.

It is an arithmetic number, because the mean of its divisors is an integer number (73776520440).

Almost surely, 25086127680305 is an apocalyptic number.

It is an amenable number.

5086127680305 is a deficient number, since it is larger than the sum of its proper divisors (4357266936015).

5086127680305 is a wasteful number, since it uses less digits than its factorization.

5086127680305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 5086127680305 in words is "five trillion, eighty-six billion, one hundred twenty-seven million, six hundred eighty thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 101 105 269 303 505 707 797 807 1345 1515 1883 2121 2237 2391 3535 3985 4035 5579 5649 6711 9415 10605 11185 11955 15659 16737 27169 27895 28245 33555 46977 78295 80497 81507 83685 135845 190183 214393 225937 234885 241491 402485 407535 563479 570549 601753 643179 677811 950915 1071965 1129685 1207455 1500751 1581559 1690437 1782889 1805259 2817395 2852745 3008765 3215895 3389055 4212271 4502253 4744677 5348667 7503755 7907795 8452185 8914445 9026295 12480223 12636813 21061355 21653693 22511265 23723385 26743335 37440669 60777053 62401115 63184065 64961079 108268465 151575851 180071789 182331159 187203345 303885265 324805395 425439371 454727553 479597141 540215367 757879255 900358945 911655795 1260502523 1276318113 1438791423 2127196855 2273637765 2397985705 2701076835 3357179987 3781507569 6302512615 6381590565 7193957115 10071539961 16785899935 18907537845 48439311241 50357699805 145317933723 242196556205 339075178687 726589668615 1017225536061 1695375893435 5086127680305