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566940816 = 243313157643
BaseRepresentation
bin100001110010101…
…101010010010000
31110111210120121000
4201302231102100
52130114101231
6132131302000
720022626451
oct4162552220
91414716530
10566940816
11271029032
12139a4a900
13905c2350
145541d128
1534b8c6e6
hex21cad490

566940816 has 160 divisors (see below), whose sum is σ = 1766414720. Its totient is φ = 173062656.

The previous prime is 566940811. The next prime is 566940817. The reversal of 566940816 is 618049665.

566940816 is a `hidden beast` number, since 566 + 9 + 4 + 0 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (566940811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881391 + ... + 882033.

It is an arithmetic number, because the mean of its divisors is an integer number (11040092).

Almost surely, 2566940816 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 566940816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883207360).

566940816 is an abundant number, since it is smaller than the sum of its proper divisors (1199473904).

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

566940816 is a wasteful number, since it uses less digits than its factorization.

566940816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 566940816 is about 23810.5190199626. The cubic root of 566940816 is about 827.6484539990.

The spelling of 566940816 in words is "five hundred sixty-six million, nine hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 157 208 216 234 312 314 351 432 468 471 624 628 643 702 936 942 1256 1286 1404 1413 1872 1884 1929 2041 2512 2572 2808 2826 3768 3858 4082 4239 5144 5616 5652 5787 6123 7536 7716 8164 8359 8478 10288 11304 11574 12246 15432 16328 16718 16956 17361 18369 22608 23148 24492 25077 30864 32656 33436 33912 34722 36738 46296 48984 50154 55107 66872 67824 69444 73476 75231 92592 97968 100308 100951 110214 133744 138888 146952 150462 200616 201902 220428 225693 277776 293904 300924 302853 401232 403804 440856 451386 601848 605706 807608 881712 902772 908559 1203696 1211412 1312363 1615216 1805544 1817118 2422824 2624726 2725677 3611088 3634236 3937089 4845648 5249452 5451354 7268472 7874178 10498904 10902708 11811267 14536944 15748356 20997808 21805416 23622534 31496712 35433801 43610832 47245068 62993424 70867602 94490136 141735204 188980272 283470408 566940816