Search a number
-
+
71820079129065 = 35107362312351011
BaseRepresentation
bin10000010101000111101010…
…010011011110000111101001
3100102021221011210121101012010
4100111013222103132013221
533403200010224112230
6412425404443510133
721061554340666011
oct2025075223360751
9312257153541163
1071820079129065
112097a7a7360653
12807b267228349
13310c7b1b40667
1413a4178c36c41
158483121ea9b0
hex4151ea4de1e9

71820079129065 has 32 divisors (see below), whose sum is σ = 116018094928896. Its totient is φ = 37935583770560.

The previous prime is 71820079129061. The next prime is 71820079129109. The reversal of 71820079129065 is 56092197002817.

It is not a de Polignac number, because 71820079129065 - 22 = 71820079129061 is a prime.

It is a super-2 number, since 2×718200791290652 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71820079128996 and 71820079129014.

It is not an unprimeable number, because it can be changed into a prime (71820079129061) 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 31 ways as a sum of consecutive naturals, for example, 360591 + ... + 11990420.

It is an arithmetic number, because the mean of its divisors is an integer number (3625565466528).

Almost surely, 271820079129065 is an apocalyptic number.

It is an amenable number.

71820079129065 is a deficient number, since it is larger than the sum of its proper divisors (44198015799831).

71820079129065 is a wasteful number, since it uses less digits than its factorization.

71820079129065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354749.

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 71820079129065 in words is "seventy-one trillion, eight hundred twenty billion, seventy-nine million, one hundred twenty-nine thousand, sixty-five".

Divisors: 1 3 5 15 107 321 535 1605 3623 10869 18115 54345 387661 1162983 1938305 5814915 12351011 37053033 61755055 185265165 1321558177 3964674531 6607790885 19823372655 44747712853 134243138559 223738564265 671215692795 4788005275271 14364015825813 23940026376355 71820079129065