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93185000055 = 3257337163169
BaseRepresentation
bin101011011001001000…
…0100100001001110111
322220112020000110211100
41112302100210021313
53011320330000210
6110450353541143
76506132301000
oct1266220441167
9286466013740
1093185000055
1136579559844
12160875747b3
138a3093b4b4
14471dd001a7
152655cb55c0
hex15b2424277

93185000055 has 96 divisors (see below), whose sum is σ = 193454352000. Its totient is φ = 41447282688.

The previous prime is 93185000017. The next prime is 93185000059. The reversal of 93185000055 is 55000058139.

It is a happy number.

93185000055 is a `hidden beast` number, since 93 + 18 + 500 + 0 + 0 + 55 = 666.

It is not a de Polignac number, because 93185000055 - 27 = 93184999927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 93184999983 and 93185000019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93185000059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489511 + ... + 652679.

It is an arithmetic number, because the mean of its divisors is an integer number (2015149500).

Almost surely, 293185000055 is an apocalyptic number.

93185000055 is an abundant number, since it is smaller than the sum of its proper divisors (100269351945).

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

93185000055 is a wasteful number, since it uses less digits than its factorization.

93185000055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163238 (or 163221 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 93185000055 in words is "ninety-three billion, one hundred eighty-five million, fifty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 245 259 315 333 343 441 555 735 777 1029 1295 1665 1715 1813 2205 2331 3087 3885 5145 5439 9065 11655 12691 15435 16317 27195 38073 63455 81585 114219 163169 190365 489507 571095 815845 1142183 1468521 2447535 3426549 5710915 6037253 7342605 7995281 10279647 17132745 18111759 23985843 30186265 39976405 42260771 51398235 54335277 55966967 71957529 90558795 119929215 126782313 167900901 211303855 271676385 279834835 295825397 359787645 380346939 503702703 633911565 839504505 887476191 1479126985 1901734695 2070777779 2518513515 2662428573 4437380955 6212333337 10353888895 13312142865 18637000011 31061666685 93185000055