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85829238617 is a prime number
BaseRepresentation
bin100111111101111010…
…0100011111101011001
322012112120212002002112
41033323310203331121
52401234241113432
6103232430242105
76125633330243
oct1177364437531
9265476762075
1085829238617
1133444405361
1214774056335
13812aa12b35
144223017093
1523751257b2
hex13fbd23f59

85829238617 has 2 divisors, whose sum is σ = 85829238618. Its totient is φ = 85829238616.

The previous prime is 85829238601. The next prime is 85829238629. The reversal of 85829238617 is 71683292858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56114029456 + 29715209161 = 236884^2 + 172381^2 .

It is a cyclic number.

It is not a de Polignac number, because 85829238617 - 24 = 85829238601 is a prime.

It is a super-3 number, since 3×858292386173 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85829238647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42914619308 + 42914619309.

It is an arithmetic number, because the mean of its divisors is an integer number (42914619309).

Almost surely, 285829238617 is an apocalyptic number.

It is an amenable number.

85829238617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85829238617 is an equidigital number, since it uses as much as digits as its factorization.

85829238617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11612160, while the sum is 59.

The spelling of 85829238617 in words is "eighty-five billion, eight hundred twenty-nine million, two hundred thirty-eight thousand, six hundred seventeen".