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85397137289 = 1728011793417
BaseRepresentation
bin100111110001000010…
…0001110011110001001
322011102110210001111122
41033202010032132021
52344343131343124
6103121513005025
76112135455512
oct1174204163611
9264373701448
1085397137289
1133242504222
12146733b3775
13808c341c89
1441c1897a09
15234c22075e
hex13e210e789

85397137289 has 8 divisors (see below), whose sum is σ = 90452830248. Its totient is φ = 80345036800.

The previous prime is 85397137279. The next prime is 85397137349. The reversal of 85397137289 is 98273179358.

It can be written as a sum of positive squares in 4 ways, for example, as 32866789264 + 52530348025 = 181292^2 + 229195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85397137289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85397137219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849092 + ... + 944325.

It is an arithmetic number, because the mean of its divisors is an integer number (11306603781).

Almost surely, 285397137289 is an apocalyptic number.

It is an amenable number.

85397137289 is a deficient number, since it is larger than the sum of its proper divisors (5055692959).

85397137289 is a wasteful number, since it uses less digits than its factorization.

85397137289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796235.

The product of its digits is 22861440, while the sum is 62.

The spelling of 85397137289 in words is "eighty-five billion, three hundred ninety-seven million, one hundred thirty-seven thousand, two hundred eighty-nine".

Divisors: 1 17 2801 47617 1793417 30488089 5023361017 85397137289