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6439459104 = 25321317101173
BaseRepresentation
bin1011111111101001…
…00101100100100000
3121121202222102020100
411333310211210200
5101142000142404
62542551542400
7315401333151
oct57764454440
917552872210
106439459104
1128049a7a31
1212b868aa00
137b8144940
14451325928
1527a4e2d39
hex17fd25920

6439459104 has 144 divisors (see below), whose sum is σ = 20881099512. Its totient is φ = 1864802304.

The previous prime is 6439459079. The next prime is 6439459123. The reversal of 6439459104 is 4019549346.

6439459104 is a `hidden beast` number, since 64 + 39 + 459 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6408322704 + 31136400 = 80052^2 + 5580^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6439459104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13062 + ... + 114234.

Almost surely, 26439459104 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 6439459104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440549756).

6439459104 is an abundant number, since it is smaller than the sum of its proper divisors (14441640408).

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

6439459104 is a wasteful number, since it uses less digits than its factorization.

6439459104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101219 (or 101208 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6439459104 is about 80246.2404353001. The cubic root of 6439459104 is about 1860.4434045210.

The spelling of 6439459104 in words is "six billion, four hundred thirty-nine million, four hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 101173 202346 303519 404692 607038 809384 910557 1214076 1315249 1618768 1719941 1821114 2428152 2630498 3237536 3439882 3642228 3945747 4856304 5159823 5260996 6879764 7284456 7891494 9712608 10319646 10521992 11837241 13759528 14568912 15479469 15782988 20639292 21043984 22359233 23674482 27519056 29137824 30958938 31565976 41278584 42087968 44718466 47348964 55038112 61917876 63131952 67077699 82557168 89436932 94697928 123835752 126263904 134155398 165114336 178873864 189395856 201233097 247671504 268310796 357747728 378791712 402466194 495343008 536621592 715495456 804932388 1073243184 1609864776 2146486368 3219729552 6439459104