Search a number
-
+
27442234017 = 3211971285473
BaseRepresentation
bin11001100011101011…
…110100001010100001
32121211111101221001200
4121203223310022201
5422200202442032
620335022151413
71661021066112
oct314353641241
977744357050
1027442234017
1110702475650
12539a422569
1327844bb7c3
14148487c209
15aa92dc47c
hex663af42a1

27442234017 has 24 divisors (see below), whose sum is σ = 43286993568. Its totient is φ = 16614470400.

The previous prime is 27442233989. The next prime is 27442234063. The reversal of 27442234017 is 71043224472.

27442234017 is a `hidden beast` number, since 27 + 4 + 4 + 223 + 401 + 7 = 666.

It is not a de Polignac number, because 27442234017 - 28 = 27442233761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27442234117) 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 23 ways as a sum of consecutive naturals, for example, 46608 + ... + 238865.

It is an arithmetic number, because the mean of its divisors is an integer number (1803624732).

Almost surely, 227442234017 is an apocalyptic number.

It is an amenable number.

27442234017 is a deficient number, since it is larger than the sum of its proper divisors (15844759551).

27442234017 is a wasteful number, since it uses less digits than its factorization.

27442234017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286461 (or 286458 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 27442234017 its reverse (71043224472), we get a palindrome (98485458489).

The spelling of 27442234017 in words is "twenty-seven billion, four hundred forty-two million, two hundred thirty-four thousand, seventeen".

Divisors: 1 3 9 11 33 99 971 2913 8739 10681 32043 96129 285473 856419 2569257 3140203 9420609 28261827 277194283 831582849 2494748547 3049137113 9147411339 27442234017