Search a number
-
+
27836554050 = 23252193320513
BaseRepresentation
bin11001111011001100…
…000001101101000010
32122211222101110110100
4121323030001231002
5424002124212200
620442105543230
72003546543154
oct317314015502
978758343410
1027836554050
1110895011078
12548a4a4b16
1328180c1976
1414c0da4ad4
15acdc2cd00
hex67b301b42

27836554050 has 72 divisors (see below), whose sum is σ = 75175276644. Its totient is φ = 7384596480.

The previous prime is 27836554033. The next prime is 27836554051. The reversal of 27836554050 is 5045563872.

27836554050 is a `hidden beast` number, since 2 + 78 + 36 + 5 + 540 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3624882849 + 24211671201 = 60207^2 + 155601^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 27836553987 and 27836554005.

It is not an unprimeable number, because it can be changed into a prime (27836554051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73407 + ... + 247106.

Almost surely, 227836554050 is an apocalyptic number.

27836554050 is an abundant number, since it is smaller than the sum of its proper divisors (47338722594).

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

27836554050 is a wasteful number, since it uses less digits than its factorization.

27836554050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320724 (or 320716 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 27836554050 in words is "twenty-seven billion, eight hundred thirty-six million, five hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 193 225 386 450 579 965 1158 1737 1930 2895 3474 4825 5790 8685 9650 14475 17370 28950 43425 86850 320513 641026 961539 1602565 1923078 2884617 3205130 4807695 5769234 8012825 9615390 14423085 16025650 24038475 28846170 48076950 61859009 72115425 123718018 144230850 185577027 309295045 371154054 556731081 618590090 927885135 1113462162 1546475225 1855770270 2783655405 3092950450 4639425675 5567310810 9278851350 13918277025 27836554050