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85814500349 is a prime number
BaseRepresentation
bin100111111101011110…
…0010101101111111101
322012111120010021222202
41033322330111233331
52401222003002344
6103231142321245
76125364134444
oct1177274255775
9265446107882
1085814500349
1133437059276
121476b129225
138127952676
14422109bd5b
152373bb394e
hex13faf15bfd

85814500349 has 2 divisors, whose sum is σ = 85814500350. Its totient is φ = 85814500348.

The previous prime is 85814500333. The next prime is 85814500357. The reversal of 85814500349 is 94300541858.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50501325625 + 35313174724 = 224725^2 + 187918^2 .

It is a cyclic number.

It is not a de Polignac number, because 85814500349 - 24 = 85814500333 is a prime.

It is a super-2 number, since 2×858145003492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85814500319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42907250174 + 42907250175.

It is an arithmetic number, because the mean of its divisors is an integer number (42907250175).

Almost surely, 285814500349 is an apocalyptic number.

It is an amenable number.

85814500349 is a deficient number, since it is larger than the sum of its proper divisors (1).

85814500349 is an equidigital number, since it uses as much as digits as its factorization.

85814500349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 85814500349 in words is "eighty-five billion, eight hundred fourteen million, five hundred thousand, three hundred forty-nine".