Search a number
-
+
12066010304055 = 3510146717054311
BaseRepresentation
bin1010111110010101011001…
…0000100000111000110111
31120201111111000002222201120
42233211112100200320313
53040142142114212210
641355014255555023
72353511661232401
oct257452620407067
946644430088646
1012066010304055
1139321912902a4
12142a58252ba73
13696a873b28b6
142d9dd87a3b71
1515dce8144270
hexaf956420e37

12066010304055 has 32 divisors (see below), whose sum is σ = 19538511303168. Its totient is φ = 6357846768000.

The previous prime is 12066010303999. The next prime is 12066010304087. The reversal of 12066010304055 is 55040301066021.

12066010304055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12066010304055 - 214 = 12066010287671 is a prime.

It is a super-2 number, since 2×120660103040552 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7819651 + ... + 9234660.

It is an arithmetic number, because the mean of its divisors is an integer number (610578478224).

Almost surely, 212066010304055 is an apocalyptic number.

12066010304055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12066010304055 is a deficient number, since it is larger than the sum of its proper divisors (7472500999113).

12066010304055 is a wasteful number, since it uses less digits than its factorization.

12066010304055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17054887.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12066010304055 in words is "twelve trillion, sixty-six billion, ten million, three hundred four thousand, fifty-five".

Divisors: 1 3 5 15 101 303 467 505 1401 1515 2335 7005 47167 141501 235835 707505 17054311 51162933 85271555 255814665 1722485411 5167456233 7964363237 8612427055 23893089711 25837281165 39821816185 119465448555 804400686937 2413202060811 4022003434685 12066010304055