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85868339089 = 132225412
BaseRepresentation
bin100111111111000100…
…1101101111110010001
322012122022102120212011
41033332021231332101
52401324243322324
6103240344302521
76126616560631
oct1177611557621
9265568376764
1085868339089
11334644910a5
1214785171a41
138135b53100
1442282b46c1
15237879ac94
hex13fe26df91

85868339089 has 9 divisors (see below), whose sum is σ = 92985817809. Its totient is φ = 79259565840.

The previous prime is 85868339087. The next prime is 85868339093. The reversal of 85868339089 is 98093386858.

The square root of 85868339089 is 293033.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 492174225 + 85376164864 = 22185^2 + 292192^2 .

It is not a de Polignac number, because 85868339089 - 21 = 85868339087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85868339087) 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 in 8 ways as a sum of consecutive naturals, for example, 3798159 + ... + 3820699.

Almost surely, 285868339089 is an apocalyptic number.

85868339089 is the 293033-rd square number.

85868339089 is the 146517-th centered octagonal number.

It is an amenable number.

85868339089 is a deficient number, since it is larger than the sum of its proper divisors (7117478720).

85868339089 is an frugal number, since it uses more digits than its factorization.

85868339089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45108 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 85868339089 in words is "eighty-five billion, eight hundred sixty-eight million, three hundred thirty-nine thousand, eighty-nine".

Divisors: 1 13 169 22541 293033 3809429 508096681 6605256853 85868339089