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85348915601 is a prime number
BaseRepresentation
bin100111101111100110…
…0010001100110010001
322011022010001010210012
41033133030101212101
52344243310244401
6103113031244305
76111011545505
oct1173714214621
9264263033705
1085348915601
1133218268594
121465b219695
13808235a131
1441b9304305
152347d978bb
hex13df311991

85348915601 has 2 divisors, whose sum is σ = 85348915602. Its totient is φ = 85348915600.

The previous prime is 85348915573. The next prime is 85348915621. The reversal of 85348915601 is 10651984358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83001610000 + 2347305601 = 288100^2 + 48449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85348915601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85348915601.

It is not a weakly prime, because it can be changed into another prime (85348915621) 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 as a sum of consecutive naturals, namely, 42674457800 + 42674457801.

It is an arithmetic number, because the mean of its divisors is an integer number (42674457801).

Almost surely, 285348915601 is an apocalyptic number.

It is an amenable number.

85348915601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85348915601 is an equidigital number, since it uses as much as digits as its factorization.

85348915601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 85348915601 in words is "eighty-five billion, three hundred forty-eight million, nine hundred fifteen thousand, six hundred one".