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8280342342216 = 2333725492148457
BaseRepresentation
bin111100001111110101011…
…0111010010101001001000
31002022121000021221221121000
41320133222313102221020
52041131120114422331
625335534201215000
71513143413416140
oct170375267225110
932277007857530
108280342342216
11270274542526a
12b18951a91460
13480aa9c4c8a9
14208ab0b71920
15e55cd97d0e6
hex787eadd2a48

8280342342216 has 128 divisors (see below), whose sum is σ = 26297125920000. Its totient is φ = 2364882863616.

The previous prime is 8280342342191. The next prime is 8280342342257. The reversal of 8280342342216 is 6122432430828.

8280342342216 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 3 + 423 + 4 + 2 + 216 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779860 + ... + 4928316.

It is an arithmetic number, because the mean of its divisors is an integer number (205446296250).

Almost surely, 28280342342216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8280342342216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148562960000).

8280342342216 is an abundant number, since it is smaller than the sum of its proper divisors (18016783577784).

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

8280342342216 is a wasteful number, since it uses less digits than its factorization.

8280342342216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151028 (or 2151018 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8280342342216 in words is "eight trillion, two hundred eighty billion, three hundred forty-two million, three hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2549 5098 7647 10196 15294 17843 20392 22941 30588 35686 45882 53529 61176 68823 71372 91764 107058 137646 142744 160587 183528 214116 275292 321174 428232 481761 550584 642348 963522 1284696 1927044 2148457 3854088 4296914 6445371 8593828 12890742 15039199 17187656 19336113 25781484 30078398 38672226 45117597 51562968 58008339 60156796 77344452 90235194 116016678 120313592 135352791 154688904 180470388 232033356 270705582 360940776 406058373 464066712 541411164 812116746 1082822328 1624233492 3248466984 5476416893 10952833786 16429250679 21905667572 32858501358 38334918251 43811335144 49287752037 65717002716 76669836502 98575504074 115004754753 131434005432 147863256111 153339673004 197151008148 230009509506 295726512222 306679346008 345014264259 394302016296 460019019012 591453024444 690028528518 920038038024 1035042792777 1182906048888 1380057057036 2070085585554 2760114114072 4140171171108 8280342342216