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85984225080 = 233513311778003
BaseRepresentation
bin101000000010100001…
…1110010011100111000
322012221101111012112220
41100011003302130320
52402043430200310
6103300044204040
76132524565645
oct1200503623470
9265841435486
1085984225080
1133513942a46
12147b7b39620
138153b695c0
14423983cdcc
152383a3c670
hex14050f2738

85984225080 has 128 divisors (see below), whose sum is σ = 286756485120. Its totient is φ = 20482583040.

The previous prime is 85984225079. The next prime is 85984225109. The reversal of 85984225080 is 8052248958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840642 + ... + 937361.

It is an arithmetic number, because the mean of its divisors is an integer number (2240285040).

Almost surely, 285984225080 is an apocalyptic number.

It is an amenable number.

85984225080 is an abundant number, since it is smaller than the sum of its proper divisors (200772260040).

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

85984225080 is a wasteful number, since it uses less digits than its factorization.

85984225080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778061 (or 1778057 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 85984225080 in words is "eighty-five billion, nine hundred eighty-four million, two hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 1778003 3556006 5334009 7112012 8890015 10668018 14224024 17780030 21336036 23114039 26670045 35560060 42672072 46228078 53340090 55118093 69342117 71120120 92456156 106680180 110236186 115570195 138684234 165354279 184912312 213360360 220472372 231140390 275590465 277368468 330708558 346710585 440944744 462280780 551180930 554736936 661417116 693421170 716535209 826771395 924561560 1102361860 1322834232 1386842340 1433070418 1653542790 2149605627 2204723720 2773684680 2866140836 3307085580 3582676045 4299211254 5732281672 6614171160 7165352090 8598422508 10748028135 14330704180 17196845016 21496056270 28661408360 42992112540 85984225080