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313774484985 = 325139722692437
BaseRepresentation
bin1001001000011100110…
…10101010110111111001
31002222220111001100212200
410210032122222313321
520120102232004420
6400051312100413
731445424054603
oct4441632526771
91088814040780
10313774484985
11111086575795
125098a534709
13237867bba40
14112886b4173
158266ae7b90
hex490e6aadf9

313774484985 has 96 divisors (see below), whose sum is σ = 592254368160. Its totient is φ = 152750997504.

The previous prime is 313774484941. The next prime is 313774485029. The reversal of 313774484985 is 589484477313.

313774484985 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 74 + 484 + 9 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (313774484941) and next prime (313774485029).

It can be written as a sum of positive squares in 16 ways, for example, as 130907923344 + 182866561641 = 361812^2 + 427629^2 .

It is not a de Polignac number, because 313774484985 - 29 = 313774484473 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128753187 + ... + 128755623.

It is an arithmetic number, because the mean of its divisors is an integer number (6169316335).

Almost surely, 2313774484985 is an apocalyptic number.

It is an amenable number.

313774484985 is a deficient number, since it is larger than the sum of its proper divisors (278479883175).

313774484985 is a wasteful number, since it uses less digits than its factorization.

313774484985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4824 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 313774484985 in words is "three hundred thirteen billion, seven hundred seventy-four million, four hundred eighty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 97 117 195 291 485 585 873 1261 1455 2269 2437 3783 4365 6305 6807 7311 11345 11349 12185 18915 20421 21933 29497 31681 34035 36555 56745 88491 95043 102105 109665 147485 158405 220093 236389 265473 285129 442455 475215 660279 709167 1100465 1181945 1327365 1425645 1980837 2127501 2861209 3073057 3301395 3545835 5529553 8583627 9219171 9904185 10637505 14306045 15365285 16588659 25750881 27647765 27657513 42918135 46095855 49765977 71884189 82943295 128754405 138287565 215652567 248829885 359420945 536366641 646957701 1078262835 1609099923 2681833205 3234788505 4827299769 6972766333 8045499615 20918298999 24136498845 34863831665 62754896997 104591494995 313774484985