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8683329312 = 2532737116411
BaseRepresentation
bin10000001011001000…
…10001011100100000
3211102011012211111100
420011210101130200
5120240413014222
63553345514400
7425116036620
oct100544213440
924364184440
108683329312
113756570919
121824042a00
13a84c965a8
145c5342880
1535c4c84ac
hex205911720

8683329312 has 144 divisors (see below), whose sum is σ = 28983794112. Its totient is φ = 2413877760.

The previous prime is 8683329271. The next prime is 8683329337. The reversal of 8683329312 is 2139233868.

8683329312 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 329 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×86833293125 (a number of 51 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16387 + ... + 132797.

It is an arithmetic number, because the mean of its divisors is an integer number (201276348).

Almost surely, 28683329312 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 8683329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491897056).

8683329312 is an abundant number, since it is smaller than the sum of its proper divisors (20300464800).

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

8683329312 is a wasteful number, since it uses less digits than its factorization.

8683329312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116471 (or 116460 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 8683329312 is about 93184.3834126727. The cubic root of 8683329312 is about 2055.3956067895.

The spelling of 8683329312 in words is "eight billion, six hundred eighty-three million, three hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4662 5328 6216 8288 9324 10656 12432 18648 24864 37296 74592 116411 232822 349233 465644 698466 814877 931288 1047699 1396932 1629754 1862576 2095398 2444631 2793864 3259508 3725152 4190796 4307207 4889262 5587728 6519016 7333893 8381592 8614414 9778524 11175456 12921621 13038032 14667786 16763184 17228828 19557048 25843242 26076064 29335572 30150449 33526368 34457656 38764863 39114096 51686484 58671144 60300898 68915312 77529726 78228192 90451347 103372968 117342288 120601796 137830624 155059452 180902694 206745936 234684576 241203592 271354041 310118904 361805388 413491872 482407184 542708082 620237808 723610776 964814368 1085416164 1240475616 1447221552 2170832328 2894443104 4341664656 8683329312