Search a number
-
+
10066202055 = 3257213379491
BaseRepresentation
bin10010101111111111…
…00000110111000111
3221222112100001021100
421113333200313013
5131103421431210
64342505351143
7504310206600
oct112777406707
927875301240
1010066202055
1142a6121658
121b4b1984b3
13c456293a0
146b6c76da7
153ddad85c0
hex257fe0dc7

10066202055 has 144 divisors (see below), whose sum is σ = 22451161824. Its totient is φ = 4132477440.

The previous prime is 10066202021. The next prime is 10066202077. The reversal of 10066202055 is 55020266001.

10066202055 is a `hidden beast` number, since 10 + 0 + 6 + 620 + 20 + 5 + 5 = 666.

10066202055 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 10066202055 - 210 = 10066201031 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1055860 + ... + 1065350.

It is an arithmetic number, because the mean of its divisors is an integer number (155910846).

Almost surely, 210066202055 is an apocalyptic number.

10066202055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10066202055 is an abundant number, since it is smaller than the sum of its proper divisors (12384959769).

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

10066202055 is a wasteful number, since it uses less digits than its factorization.

10066202055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10066202055 its reverse (55020266001), we get a palindrome (65086468056).

The spelling of 10066202055 in words is "ten billion, sixty-six million, two hundred two thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 37 39 45 49 63 65 91 105 111 117 147 185 195 245 259 273 315 333 441 455 481 555 585 637 735 777 819 1295 1365 1443 1665 1813 1911 2205 2331 2405 3185 3367 3885 4095 4329 5439 5733 7215 9065 9491 9555 10101 11655 16317 16835 21645 23569 27195 28473 28665 30303 47455 50505 66437 70707 81585 85419 117845 123383 142365 151515 199311 212121 332185 351167 353535 370149 427095 465059 597933 616915 863681 996555 1053501 1060605 1110447 1395177 1755835 1850745 2325295 2458169 2591043 2989665 3160503 4185531 4318405 4565171 5267505 5552235 6045767 6975885 7374507 7773129 12290845 12955215 13695513 15802515 17207183 18137301 20927655 22123521 22825855 30228835 31956197 36872535 38865645 41086539 51621549 54411903 68477565 86035915 90686505 95868591 110617605 154864647 159780985 205432695 223693379 258107745 272059515 287605773 479342955 671080137 774323235 1118466895 1438028865 2013240411 3355400685 10066202055