Search a number
-
+
27682046161 = 7114318713
BaseRepresentation
bin11001110001111110…
…101000000011010001
32122110012122122110221
4121301332220003101
5423143100434121
620414510153041
71666662336640
oct316176500321
978405578427
1027682046161
1110815880000
1254467b2781
1327c20a4c93
1414a8665357
15ac03acb41
hex671fa80d1

27682046161 has 40 divisors (see below), whose sum is σ = 35926776320. Its totient is φ = 20872209600.

The previous prime is 27682046153. The next prime is 27682046261. The reversal of 27682046161 is 16164028672.

It is not a de Polignac number, because 27682046161 - 23 = 27682046153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27682046261) 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 39 ways as a sum of consecutive naturals, for example, 3172741 + ... + 3181453.

It is an arithmetic number, because the mean of its divisors is an integer number (898169408).

Almost surely, 227682046161 is an apocalyptic number.

It is an amenable number.

27682046161 is a deficient number, since it is larger than the sum of its proper divisors (8244730159).

27682046161 is an frugal number, since it uses more digits than its factorization.

27682046161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 27682046161 in words is "twenty-seven billion, six hundred eighty-two million, forty-six thousand, one hundred sixty-one".

Divisors: 1 7 11 31 77 121 217 341 847 1331 2387 3751 8713 9317 14641 26257 41261 60991 95843 102487 270103 288827 453871 670901 1054273 1890721 2971133 3177097 7379911 11597003 20797931 32682463 81179021 127567033 228777241 359507093 892969231 2516549651 3954578023 27682046161