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85829238601 is a prime number
BaseRepresentation
bin100111111101111010…
…0100011111101001001
322012112120212002001221
41033323310203331021
52401234241113401
6103232430242041
76125633330221
oct1177364437511
9265476762057
1085829238601
1133444405347
1214774056321
13812aa12b22
144223017081
1523751257a1
hex13fbd23f49

85829238601 has 2 divisors, whose sum is σ = 85829238602. Its totient is φ = 85829238600.

The previous prime is 85829238589. The next prime is 85829238617. The reversal of 85829238601 is 10683292858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47741813001 + 38087425600 = 218499^2 + 195160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85829238601 is a prime.

It is not a weakly prime, because it can be changed into another prime (85829238301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42914619300 + 42914619301.

It is an arithmetic number, because the mean of its divisors is an integer number (42914619301).

Almost surely, 285829238601 is an apocalyptic number.

It is an amenable number.

85829238601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85829238601 is an equidigital number, since it uses as much as digits as its factorization.

85829238601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 85829238601 in words is "eighty-five billion, eight hundred twenty-nine million, two hundred thirty-eight thousand, six hundred one".