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84278482320 = 24352331492511
BaseRepresentation
bin100111001111101100…
…0111001010110010000
322001112111211111101010
41032133120321112100
52340100242413240
6102414512210520
76042333164664
oct1163730712620
9261474744333
1084278482320
113281900818a
1214400839a40
137c4165c166
1441170a08a4
1522d3e02280
hex139f639590

84278482320 has 160 divisors (see below), whose sum is σ = 281417416704. Its totient is φ = 20803622400.

The previous prime is 84278482313. The next prime is 84278482333. The reversal of 84278482320 is 2328487248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84278482320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75136 + ... + 417375.

Almost surely, 284278482320 is an apocalyptic number.

84278482320 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 84278482320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140708708352).

84278482320 is an abundant number, since it is smaller than the sum of its proper divisors (197138934384).

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

84278482320 is a wasteful number, since it uses less digits than its factorization.

84278482320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492581 (or 492575 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 84278482320 in words is "eighty-four billion, two hundred seventy-eight million, four hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 34224 42780 57040 85560 171120 492511 985022 1477533 1970044 2462555 2955066 3940088 4925110 5910132 7387665 7880176 9850220 11327753 11820264 14775330 15267841 19700440 22655506 23640528 29550660 30535682 33983259 39400880 45311012 45803523 56638765 59101320 61071364 67966518 76339205 90622024 91607046 113277530 118202640 122142728 135933036 152678410 169916295 181244048 183214092 226555060 229017615 244285456 271866072 305356820 339832590 351160343 366428184 453110120 458035230 543732144 610713640 679665180 702320686 732856368 906220240 916070460 1053481029 1221427280 1359330360 1404641372 1755801715 1832140920 2106962058 2718660720 2809282744 3511603430 3664281840 4213924116 5267405145 5618565488 7023206860 8427848232 10534810290 14046413720 16855696464 21069620580 28092827440 42139241160 84278482320