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84785446240 = 25511425911311
BaseRepresentation
bin100111011110110011…
…0110011110101100000
322002211211202221010121
41032331212303311200
52342120033234430
6102541102210024
76061030254625
oct1167546636540
9262754687117
1084785446240
1132a591a0730
1214522583914
137cc26b1c01
14416454a34c
152313693a7a
hex13bd9b3d60

84785446240 has 96 divisors (see below), whose sum is σ = 218585848320. Its totient is φ = 30821107200.

The previous prime is 84785446189. The next prime is 84785446241. The reversal of 84785446240 is 4264458748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84785446241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7490185 + ... + 7501495.

It is an arithmetic number, because the mean of its divisors is an integer number (2276935920).

Almost surely, 284785446240 is an apocalyptic number.

84785446240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84785446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109292924160).

84785446240 is an abundant number, since it is smaller than the sum of its proper divisors (133800402080).

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

84785446240 is a wasteful number, since it uses less digits than its factorization.

84785446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 52.

The spelling of 84785446240 in words is "eighty-four billion, seven hundred eighty-five million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4259 8518 11311 17036 21295 22622 34072 42590 45244 46849 56555 68144 85180 90488 93698 113110 124421 136288 170360 180976 187396 226220 234245 248842 340720 361952 374792 452440 468490 497684 622105 681440 749584 904880 936980 995368 1244210 1499168 1809760 1873960 1990736 2488420 3747920 3981472 4976840 7495840 9953680 19907360 48173549 96347098 192694196 240867745 385388392 481735490 529909039 770776784 963470980 1059818078 1541553568 1926941960 2119636156 2649545195 3853883920 4239272312 5299090390 7707767840 8478544624 10598180780 16957089248 21196361560 42392723120 84785446240