Search a number
-
+
5606105000511 = 317211295727277
BaseRepresentation
bin101000110010100010111…
…1001011010101000111111
3201211221100002121100012110
41101211011321122220333
51213322300340004021
615531224210105103
71116012336155361
oct121450571325077
921757302540173
105606105000511
111871599138324
1276660127b193
133188657920c2
141554a076cd31
159ac63518476
hex51945e5aa3f

5606105000511 has 24 divisors (see below), whose sum is σ = 7947400043920. Its totient is φ = 3514439826432.

The previous prime is 5606105000467. The next prime is 5606105000519. The reversal of 5606105000511 is 1150005016065.

It is not a de Polignac number, because 5606105000511 - 214 = 5606104984127 is a prime.

It is a super-2 number, since 2×56061050005112 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606105000519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884796 + ... + 3842481.

Almost surely, 25606105000511 is an apocalyptic number.

5606105000511 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5606105000511 is a deficient number, since it is larger than the sum of its proper divisors (2341295043409).

5606105000511 is a wasteful number, since it uses less digits than its factorization.

5606105000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728443 (or 5728426 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 5606105000511 in words is "five trillion, six hundred six billion, one hundred five million, five hundred eleven", and thus it is an aban number.

Divisors: 1 3 17 51 289 867 1129 3387 19193 57579 326281 978843 5727277 17181831 97363709 292091127 1655183053 4965549159 6466095733 19398287199 109923627461 329770882383 1868701666837 5606105000511