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82502788480 = 275723800687
BaseRepresentation
bin100110011010110001…
…1001010010110000000
321212221202112220100121
41030311203022112000
52322431203212410
6101522401030024
75650332063010
oct1146543122600
9255852486317
1082502788480
1131a97745112
1213ba6025314
137a1a7cc548
143dc9313c40
15222d09a9da
hex13358ca580

82502788480 has 128 divisors (see below), whose sum is σ = 235210106880. Its totient is φ = 27056781312.

The previous prime is 82502788477. The next prime is 82502788531. The reversal of 82502788480 is 8488720528.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297304 + ... + 503383.

It is an arithmetic number, because the mean of its divisors is an integer number (1837578960).

Almost surely, 282502788480 is an apocalyptic number.

82502788480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82502788480 is an abundant number, since it is smaller than the sum of its proper divisors (152707318400).

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

82502788480 is a wasteful number, since it uses less digits than its factorization.

82502788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800736 (or 800724 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 52.

The spelling of 82502788480 in words is "eighty-two billion, five hundred two million, seven hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 51520 103040 800687 1601374 3202748 4003435 5604809 6405496 8006870 11209618 12810992 16013740 18415801 22419236 25621984 28024045 32027480 36831602 44838472 51243968 56048090 64054960 73663204 89676944 92079005 102487936 112096180 128109920 128910607 147326408 179353888 184158010 224192360 256219840 257821214 294652816 358707776 368316020 448384720 512439680 515642428 589305632 644553035 717415552 736632040 896769440 1031284856 1178611264 1289106070 1473264080 1793538880 2062569712 2357222528 2578212140 2946528160 3587077760 4125139424 5156424280 5893056320 8250278848 10312848560 11786112640 16500557696 20625697120 41251394240 82502788480