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505500205303445 = 511312572431747441
BaseRepresentation
bin111001011101111111111000…
…0001010111100011010010101
32110021211100101110012222110112
41302323333300022330122111
51012224103410024202240
64551035331033532405
7211322120216562632
oct16273776012743225
92407740343188415
10505500205303445
111370824845922a0
12488413abb74105
131890a607298c41
148cb84aa3c9189
153d69348ca8665
hex1cbbff02bc695

505500205303445 has 64 divisors (see below), whose sum is σ = 685792962312192. Its totient is φ = 354370879488000.

The previous prime is 505500205303399. The next prime is 505500205303459. The reversal of 505500205303445 is 544303502005505.

It is not a de Polignac number, because 505500205303445 - 218 = 505500205041301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10655320925 + ... + 10655368365.

It is an arithmetic number, because the mean of its divisors is an integer number (10715515036128).

Almost surely, 2505500205303445 is an apocalyptic number.

505500205303445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505500205303445 is a deficient number, since it is larger than the sum of its proper divisors (180292757008747).

505500205303445 is a wasteful number, since it uses less digits than its factorization.

505500205303445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72062.

The product of its (nonzero) digits is 900000, while the sum is 41.

The spelling of 505500205303445 in words is "five hundred five trillion, five hundred billion, two hundred five million, three hundred three thousand, four hundred forty-five".

Divisors: 1 5 11 31 55 155 257 341 1285 1705 2827 7967 14135 24317 39835 47441 87637 121585 237205 267487 438185 521851 753827 1337435 1470671 2609255 3769135 6249469 7353355 8292097 12192337 16177381 31247345 41460485 60961685 68744159 80886905 134115707 193733539 343720795 377962447 670578535 968667695 1153622797 1889812235 2131068929 4157586917 5768113985 10655344645 12689850767 20787934585 35762306707 63449253835 178811533535 296481058829 393385373777 1482405294145 1966926868885 3261291647119 9190912823699 16306458235595 45954564118495 101100041060689 505500205303445