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83214574680 = 233559101116371
BaseRepresentation
bin100110101111111111…
…0011010010001011000
321221210100220101110110
41031133332122101120
52330410412342210
6102121145044320
76004064133306
oct1153776322130
9257710811413
1083214574680
1132322504676
12141644866a0
137b02107503
144055a79276
1522707ea420
hex135ff9a458

83214574680 has 128 divisors (see below), whose sum is σ = 256390790400. Its totient is φ = 21598272000.

The previous prime is 83214574657. The next prime is 83214574699. The reversal of 83214574680 is 8647541238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656895 + ... + 773265.

It is an arithmetic number, because the mean of its divisors is an integer number (2003053050).

Almost surely, 283214574680 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 83214574680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128195395200).

83214574680 is an abundant number, since it is smaller than the sum of its proper divisors (173176215720).

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

83214574680 is a wasteful number, since it uses less digits than its factorization.

83214574680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116545 (or 116541 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 83214574680 in words is "eighty-three billion, two hundred fourteen million, five hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 101 118 120 177 202 236 295 303 354 404 472 505 590 606 708 808 885 1010 1180 1212 1416 1515 1770 2020 2360 2424 3030 3540 4040 5959 6060 7080 11918 12120 17877 23836 29795 35754 47672 59590 71508 89385 116371 119180 143016 178770 232742 238360 349113 357540 465484 581855 698226 715080 930968 1163710 1396452 1745565 2327420 2792904 3491130 4654840 6865889 6982260 11753471 13731778 13964520 20597667 23506942 27463556 34329445 35260413 41195334 47013884 54927112 58767355 68658890 70520826 82390668 94027768 102988335 117534710 137317780 141041652 164781336 176302065 205976670 235069420 274635560 282083304 352604130 411953340 470138840 693454789 705208260 823906680 1386909578 1410416520 2080364367 2773819156 3467273945 4160728734 5547638312 6934547890 8321457468 10401821835 13869095780 16642914936 20803643670 27738191560 41607287340 83214574680