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71183442420 = 22325395463569
BaseRepresentation
bin100001001001011011…
…1010010000111110100
320210201220012112200100
41002102313102013310
52131240430124140
652411244114100
75066664164046
oct1022267220764
9223656175610
1071183442420
1128209219962
1211967235930
13693569253c
143633c75a96
151cb947a530
hex1092dd21f4

71183442420 has 36 divisors (see below), whose sum is σ = 215923109220. Its totient is φ = 18982251264.

The previous prime is 71183442409. The next prime is 71183442479. The reversal of 71183442420 is 2424438117.

71183442420 is a `hidden beast` number, since 71 + 1 + 8 + 344 + 242 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38562747876 + 32620694544 = 196374^2 + 180612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×711834424202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 197731605 + ... + 197731964.

It is an arithmetic number, because the mean of its divisors is an integer number (5997864145).

Almost surely, 271183442420 is an apocalyptic number.

It is an amenable number.

71183442420 is an abundant number, since it is smaller than the sum of its proper divisors (144739666800).

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

71183442420 is a wasteful number, since it uses less digits than its factorization.

71183442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395463584 (or 395463579 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 71183442420 in words is "seventy-one billion, one hundred eighty-three million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 395463569 790927138 1186390707 1581854276 1977317845 2372781414 3559172121 3954635690 4745562828 5931953535 7118344242 7909271380 11863907070 14236688484 17795860605 23727814140 35591721210 71183442420