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85999636296 = 23327312353503
BaseRepresentation
bin101000000010111111…
…0100100111101001000
322012222110111011202200
41100011332210331020
52402111401330141
6103301354400200
76133102563420
oct1200576447510
9265873434680
1085999636296
1133521609692
1214801130060
138157104172
14423b8d1480
152385083ab6
hex1405fa4f48

85999636296 has 288 divisors, whose sum is σ = 276380657280. Its totient is φ = 23664199680.

The previous prime is 85999636259. The next prime is 85999636313. The reversal of 85999636296 is 69263699958.

85999636296 is a `hidden beast` number, since 8 + 5 + 99 + 96 + 362 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 170973181 + ... + 170973683.

It is an arithmetic number, because the mean of its divisors is an integer number (959655060).

Almost surely, 285999636296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85999636296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138190328640).

85999636296 is an abundant number, since it is smaller than the sum of its proper divisors (190381020984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85999636296 is a wasteful number, since it uses less digits than its factorization.

85999636296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 899 counting only the distinct ones).

The product of its digits is 340122240, while the sum is 72.

The spelling of 85999636296 in words is "eighty-five billion, nine hundred ninety-nine million, six hundred thirty-six thousand, two hundred ninety-six".