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504424222352540 = 225747212171340237
BaseRepresentation
bin111001010110001010110101…
…0100101101110010010011100
32110011000111002100110201101122
41302230111222211232102130
51012103441301410240130
64544453142205030112
7211151306315444450
oct16254255245562234
92404014070421348
10504424222352540
111367a8125229806
12486a8963555338
13188600001a9229
148c7c396918660
153d4b371a652e5
hex1cac56a96e49c

504424222352540 has 144 divisors (see below), whose sum is σ = 1237941300351168. Its totient is φ = 169126546661376.

The previous prime is 504424222352417. The next prime is 504424222352621. The reversal of 504424222352540 is 45253222424405.

It is a junction number, because it is equal to n+sod(n) for n = 504424222352491 and 504424222352500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375699302 + ... + 377039538.

It is an arithmetic number, because the mean of its divisors is an integer number (8596814585772).

Almost surely, 2504424222352540 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 504424222352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618970650175584).

504424222352540 is an abundant number, since it is smaller than the sum of its proper divisors (733517077998628).

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

504424222352540 is a wasteful number, since it uses less digits than its factorization.

504424222352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341564 (or 1341515 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 44.

Adding to 504424222352540 its reverse (45253222424405), we get a palindrome (549677444776945).

The spelling of 504424222352540 in words is "five hundred four trillion, four hundred twenty-four billion, two hundred twenty-two million, three hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1217 1316 1645 2209 2434 3290 4418 4868 6085 6580 8519 8836 11045 12170 15463 17038 22090 24340 30926 34076 42595 44180 57199 61852 77315 85190 114398 154630 170380 228796 285995 309260 400393 571990 800786 1143980 1340237 1601572 2001965 2680474 2688353 4003930 5360948 5376706 6701185 8007860 9381659 10753412 13402370 13441765 18763318 18818471 26804740 26883530 37526636 37636942 46908295 53767060 62991139 75273884 93816590 94092355 125982278 187633180 188184710 251964556 314955695 376369420 440937973 629911390 881875946 1259822780 1631068429 1763751892 2204689865 2960583533 3262136858 4409379730 5921167066 6524273716 8155342145 8818759460 11417479003 11842334132 14802917665 16310684290 20724084731 22834958006 29605835330 32621368580 41448169462 45669916012 57087395015 59211670660 76660216163 82896338924 103620423655 114174790030 153320432326 207240847310 228349580060 306640864652 383301080815 414481694620 536621513141 766602161630 1073243026282 1533204323260 2146486052564 2683107565705 3603030159661 5366215131410 7206060319322 10732430262820 14412120638644 18015150798305 25221211117627 36030301596610 50442422235254 72060603193220 100884844470508 126106055588135 252212111176270 504424222352540