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86000841041 is a prime number
BaseRepresentation
bin101000000011000001…
…1001011000101010001
322012222112202101100212
41100012003023011101
52402112203403131
6103301440253505
76133116041663
oct1200603130521
9265875671325
1086000841041
1133522261845
1214801611295
13815743662b
14423bb26533
152385220a2b
hex14060cb151

86000841041 has 2 divisors, whose sum is σ = 86000841042. Its totient is φ = 86000841040.

The previous prime is 86000841029. The next prime is 86000841089. The reversal of 86000841041 is 14014800068.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50747023441 + 35253817600 = 225271^2 + 187760^2 .

It is a cyclic number.

It is not a de Polignac number, because 86000841041 - 226 = 85933732177 is a prime.

It is a super-2 number, since 2×860008410412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86000840989 and 86000841007.

It is not a weakly prime, because it can be changed into another prime (86000841001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43000420520 + 43000420521.

It is an arithmetic number, because the mean of its divisors is an integer number (43000420521).

Almost surely, 286000841041 is an apocalyptic number.

It is an amenable number.

86000841041 is a deficient number, since it is larger than the sum of its proper divisors (1).

86000841041 is an equidigital number, since it uses as much as digits as its factorization.

86000841041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 86000841041 in words is "eighty-six billion, eight hundred forty-one thousand, forty-one".