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55284196822965 = 33511295921758279
BaseRepresentation
bin11001001000111110110101…
…11010011100111110110101
321020202010011201201211212000
430210133122322130332311
524221234013341313330
6313325113122045513
714434102635341325
oct1444373272347665
9236663151654760
1055284196822965
111668499493a060
12624a5457a9899
1324b037b573ac6
14d91aab357285
1565d107477560
hex3247dae9cfb5

55284196822965 has 128 divisors (see below), whose sum is σ = 112794923520000. Its totient is φ = 25441519299840.

The previous prime is 55284196822903. The next prime is 55284196822993. The reversal of 55284196822965 is 56922869148255.

55284196822965 is a `hidden beast` number, since 5 + 5 + 284 + 1 + 9 + 68 + 229 + 65 = 666.

It is not a de Polignac number, because 55284196822965 - 224 = 55284180045749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55284196822893 and 55284196822902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8338305 + ... + 13419974.

It is an arithmetic number, because the mean of its divisors is an integer number (881210340000).

Almost surely, 255284196822965 is an apocalyptic number.

55284196822965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55284196822965 is an abundant number, since it is smaller than the sum of its proper divisors (57510726697035).

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

55284196822965 is a wasteful number, since it uses less digits than its factorization.

55284196822965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21758392 (or 21758386 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 55284196822965 in words is "fifty-five trillion, two hundred eighty-four billion, one hundred ninety-six million, eight hundred twenty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 59 87 99 135 145 165 177 261 295 297 319 435 495 531 649 783 885 957 1305 1485 1593 1595 1711 1947 2655 2871 3245 3915 4785 5133 5841 7965 8555 8613 9735 14355 15399 17523 18821 25665 29205 43065 46197 56463 76995 87615 94105 169389 230985 282315 508167 846945 2540835 21758279 65274837 108791395 195824511 239341069 326374185 587473533 630990091 718023207 979122555 1196705345 1283738461 1892970273 2154069621 2937367665 3154950455 3590116035 3851215383 5678910819 6418692305 6462208863 6940891001 9464851365 10770348105 11553646149 14121123071 17036732457 19256076915 20822673003 28394554095 32311044315 34660938447 34704455005 37228415369 42363369213 57768230745 62468019009 70605615355 85183662285 104113365015 111685246107 127090107639 173304692235 186142076845 187404057027 211816846065 312340095045 335055738321 381270322917 409512569059 558426230535 635450538195 937020285135 1005167214963 1228537707177 1675278691605 1906351614585 2047562845295 3685613121531 5025836074815 6142688535885 11056839364593 18428065607655 55284196822965