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8096893014016 = 21217322572
BaseRepresentation
bin111010111010011010001…
…1011101001000000000000
31001200001111101200111121001
41311310310123221000000
52030124414102422031
625115354501341344
71463660362022452
oct165646433510000
931601441614531
108096893014016
112641967025824
12aa9295107854
134696c2800b51
141ddc6ac082d2
15e0943526861
hex75d346e9000

8096893014016 has 117 divisors (see below), whose sum is σ = 16349560535611. Its totient is φ = 4009383428096.

The previous prime is 8096893013981. The next prime is 8096893014019. The reversal of 8096893014016 is 6104103986908.

The square root of 8096893014016 is 2845504.

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 6688968380416 + 1407924633600 = 2586304^2 + 1186560^2 .

It is a super-2 number, since 2×80968930140162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8096893014019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31505420160 + ... + 31505420416.

Almost surely, 28096893014016 is an apocalyptic number.

8096893014016 is the 2845504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8096893014016

8096893014016 is an abundant number, since it is smaller than the sum of its proper divisors (8252667521595).

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

8096893014016 is an frugal number, since it uses more digits than its factorization.

8096893014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 8096893014016 in words is "eight trillion, ninety-six billion, eight hundred ninety-three million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 173 256 257 346 512 514 692 1024 1028 1384 2048 2056 2768 4096 4112 5536 8224 11072 16448 22144 29929 32896 44288 44461 59858 65792 66049 88576 88922 119716 131584 132098 177152 177844 239432 263168 264196 354304 355688 478864 526336 528392 708608 711376 957728 1052672 1056784 1422752 1915456 2113568 2845504 3830912 4227136 5691008 7661824 7691753 8454272 11382016 11426477 15323648 15383506 16908544 22764032 22852954 30647296 30767012 33817088 45528064 45705908 61294592 61534024 67634176 91056128 91411816 122589184 123068048 135268352 182112256 182823632 246136096 270536704 365647264 492272192 731294528 984544384 1462589056 1969088768 1976780521 2925178112 3938177536 3953561042 5850356224 7876355072 7907122084 11700712448 15752710144 15814244168 23401424896 31505420288 31628488336 46802849792 63256976672 126513953344 253027906688 506055813376 1012111626752 2024223253504 4048446507008 8096893014016