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56535244253565 = 35711509197948593
BaseRepresentation
bin11001101101011001000110…
…01001101010100101111101
321102011201100101012010010020
430312230203021222211331
524402233140012103230
6320123533242202353
714623352025134550
oct1466544311524575
9242151311163106
1056535244253565
111701750a568320
126410aaaab33b9
13257133490443c
14dd646b348697
15680928957810
hex336b2326a97d

56535244253565 has 128 divisors (see below), whose sum is σ = 113057789644800. Its totient is φ = 23436675747840.

The previous prime is 56535244253491. The next prime is 56535244253591.

It is a happy number.

56535244253565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56535244253565 - 28 = 56535244253309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56535244253499 and 56535244253508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1163419909 + ... + 1163468501.

It is an arithmetic number, because the mean of its divisors is an integer number (883263981600).

Almost surely, 256535244253565 is an apocalyptic number.

56535244253565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56535244253565 is a deficient number, since it is larger than the sum of its proper divisors (56522545391235).

56535244253565 is a wasteful number, since it uses less digits than its factorization.

56535244253565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51107.

The product of its digits is 324000000, while the sum is 60.

The spelling of 56535244253565 in words is "fifty-six trillion, five hundred thirty-five billion, two hundred forty-four million, two hundred fifty-three thousand, five hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 509 1155 1527 1979 2545 3563 5599 5937 7635 9895 10689 13853 16797 17815 21769 27995 29685 39193 41559 48593 53445 65307 69265 83985 108845 117579 145779 152383 195965 207795 242965 326535 340151 457149 534523 587895 728895 761915 1007311 1020453 1603569 1700755 2285745 2672615 3021933 3741661 5036555 5102265 7051177 8017845 11080421 11224983 15109665 18708305 21153531 24733837 33241263 35255885 55402105 56124915 74201511 77562947 96165547 105767655 123669185 166206315 173136859 232688841 272072207 288496641 371007555 387814735 480827735 519410577 673158829 816216621 865684295 1057821017 1163444205 1360361035 1442483205 1904505449 2019476487 2597052885 3173463051 3365794145 4081083105 5289105085 5713516347 7404747119 9522527245 10097382435 15867315255 22214241357 28567581735 37023735595 48948263423 111071206785 146844790269 244741317115 342637843961 538430897653 734223951345 1027913531883 1615292692959 1713189219805 2692154488265 3769016283571 5139567659415 8076463464795 11307048850713 18845081417855 56535244253565