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85799308716 = 2232112311275003
BaseRepresentation
bin100111111101000001…
…0011000110110101100
322012110111112110222200
41033322002120312230
52401204110334331
6103225440541500
76125121043122
oct1177202306654
9265414473880
1085799308716
1133429522600
1214766021890
138124763a34
14421d065912
1523726b25e6
hex13fa098dac

85799308716 has 216 divisors, whose sum is σ = 248067735552. Its totient is φ = 24957979200.

The previous prime is 85799308711. The next prime is 85799308717. The reversal of 85799308716 is 61780399758.

It is a super-4 number, since 4×857993087164 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85799308711) 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 in 71 ways as a sum of consecutive naturals, for example, 17147071 + ... + 17152073.

Almost surely, 285799308716 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 85799308716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124033867776).

85799308716 is an abundant number, since it is smaller than the sum of its proper divisors (162268426836).

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

85799308716 is a wasteful number, since it uses less digits than its factorization.

85799308716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 85799308716 in words is "eighty-five billion, seven hundred ninety-nine million, three hundred eight thousand, seven hundred sixteen".