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8484607712 = 257671135003
BaseRepresentation
bin1111110011011100…
…01101011011100000
3210220022021201201002
413321232031123200
5114334024421322
63521530331132
7420153655430
oct77156153340
923808251632
108484607712
113664381399
121789589aa8
13a52a69149
145a6bb42c0
15349d22c92
hex1f9b8d6e0

8484607712 has 96 divisors (see below), whose sum is σ = 19550668032. Its totient is φ = 3549579264.

The previous prime is 8484607709. The next prime is 8484607723. The reversal of 8484607712 is 2177064848.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1693403 + ... + 1698405.

It is an arithmetic number, because the mean of its divisors is an integer number (203652792).

Almost surely, 28484607712 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 8484607712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775334016).

8484607712 is an abundant number, since it is smaller than the sum of its proper divisors (11066060320).

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

8484607712 is a wasteful number, since it uses less digits than its factorization.

8484607712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 8484607712 is about 92111.9303456398. The cubic root of 8484607712 is about 2039.5949240562.

The spelling of 8484607712 in words is "eight billion, four hundred eighty-four million, six hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 113 134 224 226 268 452 469 536 791 904 938 1072 1582 1808 1876 2144 3164 3616 3752 5003 6328 7504 7571 10006 12656 15008 15142 20012 25312 30284 35021 40024 52997 60568 70042 80048 105994 121136 140084 160096 211988 242272 280168 335201 423976 560336 565339 670402 847952 1120672 1130678 1340804 1695904 2261356 2346407 2681608 3957373 4522712 4692814 5363216 7914746 9045424 9385628 10726432 15829492 18090848 18771256 31658984 37542512 37877713 63317968 75085024 75755426 126635936 151510852 265143991 303021704 530287982 606043408 1060575964 1212086816 2121151928 4242303856 8484607712