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5584685064 = 233779491857
BaseRepresentation
bin1010011001101111…
…11000100000001000
3112102012120101200120
411030313320200020
542414134410224
62322055103240
7255252016440
oct51467704010
915365511616
105584685064
112406455602
1210ba371b20
136b002469a
143ad9bd120
1522a44b779
hex14cdf8808

5584685064 has 128 divisors (see below), whose sum is σ = 16210022400. Its totient is φ = 1570383360.

The previous prime is 5584685053. The next prime is 5584685083. The reversal of 5584685064 is 4605864855.

It is a junction number, because it is equal to n+sod(n) for n = 5584684998 and 5584685016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6516124 + ... + 6516980.

It is an arithmetic number, because the mean of its divisors is an integer number (126640800).

Almost surely, 25584685064 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 5584685064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105011200).

5584685064 is an abundant number, since it is smaller than the sum of its proper divisors (10625337336).

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

5584685064 is a wasteful number, since it uses less digits than its factorization.

5584685064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The square root of 5584685064 is about 74730.7504578938. The cubic root of 5584685064 is about 1774.1876930105.

The spelling of 5584685064 in words is "five billion, five hundred eighty-four million, six hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 491 553 632 857 948 982 1106 1473 1659 1714 1896 1964 2212 2571 2946 3318 3428 3437 3928 4424 5142 5892 5999 6636 6856 6874 10284 10311 11784 11998 13272 13748 17997 20568 20622 23996 27496 35994 38789 41244 47992 67703 71988 77578 82488 116367 135406 143976 155156 203109 232734 270812 271523 310312 406218 420787 465468 473921 541624 543046 812436 814569 841574 930936 947842 1086092 1262361 1421763 1624872 1629138 1683148 1895684 2172184 2524722 2843526 2945509 3258276 3366296 3791368 5049444 5687052 5891018 6516552 8836527 10098888 11374104 11782036 17673054 23564072 33242173 35346108 66484346 70692216 99726519 132968692 199453038 232695211 265937384 398906076 465390422 698085633 797812152 930780844 1396171266 1861561688 2792342532 5584685064