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5566083120 = 2432513594667
BaseRepresentation
bin1010010111100001…
…11011000000110000
3112100220120022121200
411023300323000300
542344404124440
62320152251200
7254634632403
oct51360730060
915326508550
105566083120
1123a69aa6a4
1210b40a0b00
136a9210710
143ab339d3a
152289c4c30
hex14bc3b030

5566083120 has 120 divisors (see below), whose sum is σ = 20130701136. Its totient is φ = 1370110464.

The previous prime is 5566083119. The next prime is 5566083121. The reversal of 5566083120 is 213806655.

5566083120 is a `hidden beast` number, since 5 + 566 + 0 + 83 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5566083119) and next prime (5566083121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×55660831203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5566083121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287974 + ... + 306693.

Almost surely, 25566083120 is an apocalyptic number.

It is an amenable number.

5566083120 is an abundant number, since it is smaller than the sum of its proper divisors (14564618016).

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

5566083120 is a wasteful number, since it uses less digits than its factorization.

5566083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594699 (or 594690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5566083120 is about 74606.1868748162. The cubic root of 5566083120 is about 1772.2156300601.

Adding to 5566083120 its reverse (213806655), we get a palindrome (5779889775).

The spelling of 5566083120 in words is "five billion, five hundred sixty-six million, eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 594667 1189334 1784001 2378668 2973335 3568002 4757336 5352003 5946670 7136004 7730671 8920005 9514672 10704006 11893340 14272008 15461342 17840010 21408012 23192013 23786680 26760015 28544016 30922684 35680020 38653355 42816024 46384026 47573360 53520030 61845368 69576039 71360040 77306710 85632048 92768052 107040060 115960065 123690736 139152078 142720080 154613420 185536104 214080120 231920130 278304156 309226840 347880195 371072208 428160240 463840260 556608312 618453680 695760390 927680520 1113216624 1391520780 1855361040 2783041560 5566083120