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563342130603216 = 243213765343729649
BaseRepresentation
bin1000000000010110110100111…
…1100101001110010011010000
32201212121222111200022212020200
42000011231033211032103100
51042314244140413300331
65314043445125535200
7226442061104461056
oct20005551745162320
92655558450285220
10563342130603216
11153553068476698
125322358b874500
131b244c20197793
149d17c943301d6
15451dc4ce4a5e6
hex2005b4f94e4d0

563342130603216 has 120 divisors (see below), whose sum is σ = 1590515413835400. Its totient is φ = 186124576677888.

The previous prime is 563342130603169. The next prime is 563342130603229. The reversal of 563342130603216 is 612306031243365.

563342130603216 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 4 + 2 + 1 + 30 + 603 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69453555854400 + 493888574748816 = 8333880^2 + 22223604^2 .

It is a super-2 number, since 2×5633421306032162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8982441 + ... + 34747208.

It is an arithmetic number, because the mean of its divisors is an integer number (13254295115295).

Almost surely, 2563342130603216 is an apocalyptic number.

It is an amenable number.

563342130603216 is an abundant number, since it is smaller than the sum of its proper divisors (1027173283232184).

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

563342130603216 is a wasteful number, since it uses less digits than its factorization.

563342130603216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43730453 (or 43730444 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 563342130603216 in words is "five hundred sixty-three trillion, three hundred forty-two billion, one hundred thirty million, six hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 653 822 1096 1233 1306 1644 1959 2192 2466 2612 3288 3918 4932 5224 5877 6576 7836 9864 10448 11754 15672 19728 23508 31344 47016 89461 94032 178922 268383 357844 536766 715688 805149 1073532 1431376 1610298 2147064 3220596 4294128 6441192 12882384 43729649 87459298 131188947 174918596 262377894 349837192 393566841 524755788 699674384 787133682 1049511576 1574267364 2099023152 3148534728 5990961913 6297069456 11981923826 17972885739 23963847652 28555460797 35945771478 47927695304 53918657217 57110921594 71891542956 85666382391 95855390608 107837314434 114221843188 143783085912 171332764782 215674628868 228443686376 256999147173 287566171824 342665529564 431349257736 456887372752 513998294346 685331059128 862698515472 1027996588692 1370662118256 2055993177384 3912098129189 4111986354768 7824196258378 11736294387567 15648392516756 23472588775134 31296785033512 35208883162701 46945177550268 62593570067024 70417766325402 93890355100536 140835532650804 187780710201072 281671065301608 563342130603216