Search a number
-
+
71885190210906 = 23532377254337397
BaseRepresentation
bin10000010110000100010011…
…001110100010010101011010
3100102112011020111121001010210
4100112010103032202111122
533410231332143222111
6412515333412151550
721066351012026652
oct2026042316422532
9312464214531123
1071885190210906
11209a5379916096
12808b9b89085b6
13311598a450017
1413a7394425362
15849d734e80a6
hex4161133a255a

71885190210906 has 64 divisors (see below), whose sum is σ = 146606201123328. Its totient is φ = 23489862409728.

The previous prime is 71885190210871. The next prime is 71885190210907. The reversal of 71885190210906 is 60901209158817.

It is a super-2 number, since 2×718851902109062 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71885190210907) 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, 1922199400 + ... + 1922236796.

It is an arithmetic number, because the mean of its divisors is an integer number (2290721892552).

Almost surely, 271885190210906 is an apocalyptic number.

71885190210906 is an abundant number, since it is smaller than the sum of its proper divisors (74721010912422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71885190210906 is a wasteful number, since it uses less digits than its factorization.

71885190210906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42375.

The product of its (nonzero) digits is 2177280, while the sum is 57.

The spelling of 71885190210906 in words is "seventy-one trillion, eight hundred eighty-five billion, one hundred ninety million, two hundred ten thousand, nine hundred six".

Divisors: 1 2 3 6 53 106 159 318 2377 2543 4754 5086 7131 7629 14262 15258 37397 74794 112191 125981 134779 224382 251962 269558 377943 404337 755886 808674 1982041 3964082 5946123 6044711 11892246 12089422 18134133 36268266 88892669 95100571 177785338 190201142 266678007 285301713 320369683 533356014 570603426 640739366 961109049 1922218098 4711311457 5040330263 9422622914 10080660526 14133934371 15120990789 28267868742 30241981578 226054057267 452108114534 678162171801 1356324343602 11980865035151 23961730070302 35942595105453 71885190210906