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8085836096 = 26132839007
BaseRepresentation
bin1111000011111010…
…00001000101000000
3202212111221000212222
413201331001011000
5113024433223341
63414203310212
7404242321112
oct74175010500
922774830788
108085836096
11347a275378
121697b1b368
139bb267a00
14569c4d3b2
15324d0344b
hex1e1f41140

8085836096 has 84 divisors (see below), whose sum is σ = 17585813952. Its totient is φ = 3686552064.

The previous prime is 8085836081. The next prime is 8085836111. The reversal of 8085836096 is 6906385808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8085836081) and next prime (8085836111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893225 + ... + 902231.

It is an arithmetic number, because the mean of its divisors is an integer number (209354928).

Almost surely, 28085836096 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 8085836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792906976).

8085836096 is an abundant number, since it is smaller than the sum of its proper divisors (9499977856).

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

8085836096 is a wasteful number, since it uses less digits than its factorization.

8085836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The square root of 8085836096 is about 89921.2772151286. The cubic root of 8085836096 is about 2007.1275766507.

The spelling of 8085836096 in words is "eight billion, eighty-five million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 169 208 332 338 416 664 676 832 1079 1328 1352 2158 2656 2704 4316 5312 5408 8632 9007 10816 14027 17264 18014 28054 34528 36028 56108 69056 72056 112216 117091 144112 224432 234182 288224 448864 468364 576448 747581 897728 936728 1495162 1522183 1873456 2990324 3044366 3746912 5980648 6088732 7493824 9718553 11961296 12177464 19437106 23922592 24354928 38874212 47845184 48709856 77748424 97419712 126341189 155496848 252682378 310993696 505364756 621987392 1010729512 2021459024 4042918048 8085836096