Search a number
-
+
55653216849 = 3210161224661
BaseRepresentation
bin110011110101001100…
…001011001001010001
312022122120100100020200
4303311030023021101
51402434210414344
641322225325413
74010065352346
oct636514131121
9168576310220
1055653216849
112166987659a
12a952196869
13532c03a859
14299d46c7cd
1516aad2c069
hexcf530b251

55653216849 has 12 divisors (see below), whose sum is σ = 81183901812. Its totient is φ = 36734796000.

The previous prime is 55653216833. The next prime is 55653216881. The reversal of 55653216849 is 94861235655.

55653216849 is a `hidden beast` number, since 5 + 5 + 6 + 532 + 1 + 68 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30295839249 + 25357377600 = 174057^2 + 159240^2 .

It is not a de Polignac number, because 55653216849 - 24 = 55653216833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55653216795 and 55653216804.

It is not an unprimeable number, because it can be changed into a prime (55653286849) 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 11 ways as a sum of consecutive naturals, for example, 30611422 + ... + 30613239.

It is an arithmetic number, because the mean of its divisors is an integer number (6765325151).

Almost surely, 255653216849 is an apocalyptic number.

It is an amenable number.

55653216849 is a deficient number, since it is larger than the sum of its proper divisors (25530684963).

55653216849 is a wasteful number, since it uses less digits than its factorization.

55653216849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61224768 (or 61224765 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 55653216849 in words is "fifty-five billion, six hundred fifty-three million, two hundred sixteen thousand, eight hundred forty-nine".

Divisors: 1 3 9 101 303 909 61224661 183673983 551021949 6183690761 18551072283 55653216849