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84283379856 = 243213218612
BaseRepresentation
bin100111001111110101…
…1100101000010010000
322001112212001022112100
41032133223211002100
52340103021123411
6102415205200400
76042422623344
oct1163753450220
9261485038470
1084283379856
1132820852835
1214402400100
137c42685400
1441179b7624
1522d456d456
hex139fae5090

84283379856 has 135 divisors (see below), whose sum is σ = 255553781067. Its totient is φ = 25919412480.

The previous prime is 84283379813. The next prime is 84283379861. The reversal of 84283379856 is 65897338248.

The square root of 84283379856 is 290316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 69791072400 + 14492307456 = 264180^2 + 120384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84283379793 and 84283379802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45288366 + ... + 45290226.

Almost surely, 284283379856 is an apocalyptic number.

84283379856 is the 290316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84283379856

84283379856 is an abundant number, since it is smaller than the sum of its proper divisors (171270401211).

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

84283379856 is a wasteful number, since it uses less digits than its factorization.

84283379856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 1879 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 84283379856 in words is "eighty-four billion, two hundred eighty-three million, three hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1861 1872 2028 2704 3042 3722 4056 5583 6084 7444 8112 11166 12168 14888 16749 22332 24193 24336 29776 33498 44664 48386 66996 72579 89328 96772 133992 145158 193544 217737 267984 290316 314509 387088 435474 580632 629018 870948 943527 1161264 1258036 1741896 1887054 2516072 2830581 3463321 3483792 3774108 5032144 5661162 6926642 7548216 10389963 11322324 13853284 15096432 20779926 22644648 27706568 31169889 41559852 45023173 45289296 55413136 62339778 83119704 90046346 124679556 135069519 166239408 180092692 249359112 270139038 360185384 405208557 498718224 540278076 585301249 720370768 810417114 1080556152 1170602498 1620834228 1755903747 2161112304 2341204996 3241668456 3511807494 4682409992 5267711241 6483336912 7023614988 9364819984 10535422482 14047229976 21070844964 28094459952 42141689928 84283379856