Search a number
-
+
81158126161 = 7297106915973
BaseRepresentation
bin100101110010101100…
…1101011101001010001
321202111001022222102111
41023211121223221101
52312202440014121
6101141124145321
75602113455500
oct1134531535121
9252431288374
1081158126161
1131467712442
121388b838241
137865057878
143cdc8c8837
15219eed72e1
hex12e566ba51

81158126161 has 24 divisors (see below), whose sum is σ = 95476917480. Its totient is φ = 68778243072.

The previous prime is 81158126057. The next prime is 81158126177. The reversal of 81158126161 is 16162185118.

It can be written as a sum of positive squares in 4 ways, for example, as 17272530625 + 63885595536 = 131425^2 + 252756^2 .

It is not a de Polignac number, because 81158126161 - 29 = 81158125649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81158120161) 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 23 ways as a sum of consecutive naturals, for example, 5072971 + ... + 5088943.

It is an arithmetic number, because the mean of its divisors is an integer number (3978204895).

Almost surely, 281158126161 is an apocalyptic number.

It is an amenable number.

81158126161 is a deficient number, since it is larger than the sum of its proper divisors (14318791319).

81158126161 is a wasteful number, since it uses less digits than its factorization.

81158126161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17153 (or 17146 counting only the distinct ones).

The product of its digits is 23040, while the sum is 40.

The spelling of 81158126161 in words is "eighty-one billion, one hundred fifty-eight million, one hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 7 49 97 679 1069 4753 7483 15973 52381 103693 111811 725851 782677 1549381 5080957 10845667 17075137 75919669 119525959 836681713 1656288289 11594018023 81158126161