Search a number
-
+
5508106621765 = 511612593633151
BaseRepresentation
bin101000000100111010010…
…1111010001001101000101
3201111120101102100220010021
41100021310233101031011
51210221100243344030
615414220024455141
71105643005533346
oct120116457211505
921446342326107
105508106621765
111833a7a656970
1274b61191a4b1
1330c548876947
141508454aa0cd
1598429db197a
hex50274bd1345

5508106621765 has 32 divisors (see below), whose sum is σ = 7331657029632. Its totient is φ = 3938699520000.

The previous prime is 5508106621727. The next prime is 5508106621769. The reversal of 5508106621765 is 5671266018055.

It is a happy number.

It is not a de Polignac number, because 5508106621765 - 213 = 5508106613573 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5508106621769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8382940 + ... + 9016090.

It is an arithmetic number, because the mean of its divisors is an integer number (229114282176).

Almost surely, 25508106621765 is an apocalyptic number.

5508106621765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5508106621765 is a deficient number, since it is larger than the sum of its proper divisors (1823550407867).

5508106621765 is a wasteful number, since it uses less digits than its factorization.

5508106621765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635821.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 5508106621765 in words is "five trillion, five hundred eight billion, one hundred six million, six hundred twenty-one thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 61 305 671 2593 3355 12965 28523 142615 158173 633151 790865 1739903 3165755 6964661 8699515 34823305 38622211 193111055 424844321 1641760543 2124221605 8208802715 18059365973 90296829865 100147393123 500736965615 1101621324353 5508106621765