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564342465502365 = 3511239281479106321
BaseRepresentation
bin1000000001010001000011100…
…0001100000001110010011101
32202000011121112201220220222220
42000110100320030001302131
51042432141332132033430
65320131203302255553
7226604253250021344
oct20024207014016235
92660147481826886
10564342465502365
111538a9328442240
1253365425a275b9
131b2b835c95cca4
149d5046d032b5b
154539c98cb6110
hex2014438301c9d

564342465502365 has 128 divisors (see below), whose sum is σ = 994757477990400. Its totient is φ = 270936701952000.

The previous prime is 564342465502339. The next prime is 564342465502463. The reversal of 564342465502365 is 563205564243465.

It is not a de Polignac number, because 564342465502365 - 26 = 564342465502301 is a prime.

It is a super-2 number, since 2×5643424655023652 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564342465502299 and 564342465502308.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5307858405 + ... + 5307964725.

It is an arithmetic number, because the mean of its divisors is an integer number (7771542796800).

Almost surely, 2564342465502365 is an apocalyptic number.

564342465502365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564342465502365 is a deficient number, since it is larger than the sum of its proper divisors (430415012488035).

564342465502365 is a wasteful number, since it uses less digits than its factorization.

564342465502365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107339.

The product of its (nonzero) digits is 311040000, while the sum is 60.

The spelling of 564342465502365 in words is "five hundred sixty-four trillion, three hundred forty-two billion, four hundred sixty-five million, five hundred two thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 239 281 479 717 843 1195 1405 1437 2395 2629 3091 3585 4215 5269 7185 7887 9273 13145 15455 15807 26345 39435 46365 67159 79035 106321 114481 134599 201477 318963 335795 343443 403797 531605 572405 672995 738749 1007385 1169531 1259291 1480589 1594815 1717215 2018985 2216247 3508593 3693745 3777873 4441767 5847655 6296455 7402945 11081235 17542965 18889365 22208835 25410719 29876201 32169161 50927759 76232157 89628603 96507483 127053595 149381005 152783277 160845805 254638795 279517909 328638211 353860771 381160785 448143015 482537415 560205349 763916385 838553727 985914633 1061582313 1397589545 1643191055 1680616047 1769303855 2801026745 4192768635 4929573165 5307911565 7140412039 8403080235 12171734401 14310700279 21421236117 35702060195 36515203203 42932100837 60858672005 71553501395 78544532429 107106180585 133889078411 157417703069 182576016015 214660504185 235633597287 392722662145 401667235233 472253109207 669445392055 787088515345 1178167986435 2008336176165 2361265546035 3420257366681 10260772100043 17101286833405 37622831033491 51303860500215 112868493100473 188114155167455 564342465502365