Search a number
-
+
81722464601 is a prime number
BaseRepresentation
bin100110000011100001…
…0011101100101011001
321210221101020100020012
41030013002131211121
52314331422331401
6101313124011305
75622105326201
oct1140702354531
9253841210205
1081722464601
1131727223248
1213a08830b35
137924c4853b
143d5382b401
1521d480d8bb
hex130709d959

81722464601 has 2 divisors, whose sum is σ = 81722464602. Its totient is φ = 81722464600.

The previous prime is 81722464597. The next prime is 81722464627. The reversal of 81722464601 is 10646422718.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73345638976 + 8376825625 = 270824^2 + 91525^2 .

It is a cyclic number.

It is not a de Polignac number, because 81722464601 - 22 = 81722464597 is a prime.

It is a super-2 number, since 2×817224646012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (81722464301) by changing a digit.

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 as a sum of consecutive naturals, namely, 40861232300 + 40861232301.

It is an arithmetic number, because the mean of its divisors is an integer number (40861232301).

Almost surely, 281722464601 is an apocalyptic number.

It is an amenable number.

81722464601 is a deficient number, since it is larger than the sum of its proper divisors (1).

81722464601 is an equidigital number, since it uses as much as digits as its factorization.

81722464601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 81722464601 in words is "eighty-one billion, seven hundred twenty-two million, four hundred sixty-four thousand, six hundred one".