Search a number
-
+
81834907829 is a prime number
BaseRepresentation
bin100110000110110111…
…1011001100010110101
321211020012211001100012
41030031233121202311
52320044214022304
6101332222030005
75624642145053
oct1141557314265
9254205731305
1081834907829
1131784743534
1213a3a418305
1379423279ac
143d6473b1d3
1521de62016e
hex130dbd98b5

81834907829 has 2 divisors, whose sum is σ = 81834907830. Its totient is φ = 81834907828.

The previous prime is 81834907747. The next prime is 81834907841. The reversal of 81834907829 is 92870943818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50862427729 + 30972480100 = 225527^2 + 175990^2 .

It is a cyclic number.

It is not a de Polignac number, because 81834907829 - 220 = 81833859253 is a prime.

It is a super-3 number, since 3×818349078293 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81834907849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40917453914 + 40917453915.

It is an arithmetic number, because the mean of its divisors is an integer number (40917453915).

Almost surely, 281834907829 is an apocalyptic number.

It is an amenable number.

81834907829 is a deficient number, since it is larger than the sum of its proper divisors (1).

81834907829 is an equidigital number, since it uses as much as digits as its factorization.

81834907829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 81834907829 in words is "eighty-one billion, eight hundred thirty-four million, nine hundred seven thousand, eight hundred twenty-nine".