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83056340418414 = 231129277647242129
BaseRepresentation
bin10010111000101000001111…
…101010101011111101101110
3101220002002221011120002122120
4102320220033222223331232
541341243341121342124
6452351320034453410
723331423354045156
oct2270501752537556
9356062834502576
1083056340418414
1124511aa598a090
129394a60434266
133746243baa7bc
141671d3c2c1766
1599074549ed79
hex4b8a0faabf6e

83056340418414 has 128 divisors (see below), whose sum is σ = 188430912230400. Its totient is φ = 24175454177280.

The previous prime is 83056340418407. The next prime is 83056340418427. The reversal of 83056340418414 is 41481404365038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342904102 + ... + 343146230.

It is an arithmetic number, because the mean of its divisors is an integer number (1472116501800).

Almost surely, 283056340418414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83056340418414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94215456115200).

83056340418414 is an abundant number, since it is smaller than the sum of its proper divisors (105374571811986).

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

83056340418414 is a wasteful number, since it uses less digits than its factorization.

83056340418414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243098.

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 83056340418414 in words is "eighty-three trillion, fifty-six billion, three hundred forty million, four hundred eighteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 277 319 554 638 647 831 957 1294 1662 1914 1941 3047 3882 6094 7117 8033 9141 14234 16066 18282 18763 21351 24099 37526 42702 48198 56289 88363 112578 176726 179219 206393 242129 265089 358438 412786 484258 530178 537657 619179 726387 1075314 1238358 1452774 1971409 2663419 3942818 5197351 5326838 5914227 7021741 7990257 10394702 11828454 14043482 15592053 15980514 21065223 31184106 42130446 57170861 67069733 77239151 114341722 134139466 154478302 156657463 171512583 201209199 231717453 313314926 343025166 402418398 463434906 469972389 737767063 939944778 1475534126 1723232093 1945022257 2213301189 3446464186 3890044514 4426602378 4543066427 5169696279 5835066771 9086132854 10339392558 11670133542 13629199281 21395244827 27258398562 42790489654 43394117251 49973730697 64185734481 86788234502 99947461394 128371468962 130182351753 149921192091 260364703506 299842384182 477335289761 954670579522 1258429400279 1432005869283 2516858800558 2864011738566 3775288200837 7550576401674 13842723403069 27685446806138 41528170209207 83056340418414