Search a number
-
+
86256218802680 = 23579233214354667
BaseRepresentation
bin10011100111001100010111…
…010010000000100111111000
3102022102000101012021100011122
4103213030113102000213320
542301210214003141210
6503241320533444412
724111543340405403
oct2347142722004770
9368360335240148
1086256218802680
1125536069901293
1298110491a0708
133918c077883a4
141742b7507cd3a
159e8ac7643b55
hex4e73174809f8

86256218802680 has 128 divisors (see below), whose sum is σ = 197472361881600. Its totient is φ = 33903093998592.

The previous prime is 86256218802667. The next prime is 86256218802773. The reversal of 86256218802680 is 8620881265268.

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, 1577820707 + ... + 1577875373.

It is an arithmetic number, because the mean of its divisors is an integer number (1542752827200).

Almost surely, 286256218802680 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 86256218802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736180940800).

86256218802680 is an abundant number, since it is smaller than the sum of its proper divisors (111216143078920).

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

86256218802680 is a wasteful number, since it uses less digits than its factorization.

86256218802680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57133 (or 57129 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 62.

The spelling of 86256218802680 in words is "eighty-six trillion, two hundred fifty-six billion, two hundred eighteen million, eight hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 158 233 316 395 466 632 790 932 1165 1580 1864 2143 2330 3160 4286 4660 8572 9320 10715 17144 18407 21430 36814 42860 54667 73628 85720 92035 109334 147256 169297 184070 218668 273335 338594 368140 437336 499319 546670 677188 736280 846485 998638 1093340 1354376 1692970 1997276 2186680 2496595 3385940 3994552 4318693 4993190 6771880 8637386 9986380 12737411 17274772 19972760 21593465 25474822 34549544 39446201 43186930 50949644 63687055 78892402 86373860 101899288 117151381 127374110 157784804 172747720 197231005 234302762 254748220 315569608 394462010 468605524 509496440 585756905 788924020 937211048 1006255469 1171513810 1577848040 2012510938 2343027620 4025021876 4686055240 5031277345 8050043752 9254959099 10062554690 18509918198 20125109380 27296271773 37019836396 40250218760 46274795495 54592543546 74039672792 92549590990 109185087092 136481358865 185099181980 218370174184 272962717730 370198363960 545925435460 1091850870920 2156405470067 4312810940134 8625621880268 10782027350335 17251243760536 21564054700670 43128109401340 86256218802680