Search a number
-
+
86221866144810 = 235111949429278207
BaseRepresentation
bin10011100110101100010111…
…101101000001010000101010
3102022021201201002200111200210
4103212230113231001100222
542300124340213113220
6503213440053041550
724106216135546044
oct2346542755012052
9368251632614623
1086221866144810
1125522540703a50
1298064606262b6
1339158c16c79b6
141741236920a94
159e7c668336e0
hex4e6b17b4142a

86221866144810 has 128 divisors (see below), whose sum is σ = 237631474483200. Its totient is φ = 19801679281920.

The previous prime is 86221866144797. The next prime is 86221866144811. The reversal of 86221866144810 is 1844166812268.

It is a super-2 number, since 2×862218661448102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (86221866144811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309780727 + ... + 310058933.

It is an arithmetic number, because the mean of its divisors is an integer number (1856495894400).

Almost surely, 286221866144810 is an apocalyptic number.

86221866144810 is an abundant number, since it is smaller than the sum of its proper divisors (151409608338390).

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

86221866144810 is a wasteful number, since it uses less digits than its factorization.

86221866144810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327676.

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 86221866144810 in words is "eighty-six trillion, two hundred twenty-one billion, eight hundred sixty-six million, one hundred forty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 49429 98858 148287 247145 278207 296574 494290 543719 556414 741435 834621 939151 1087438 1391035 1482870 1631157 1669242 1878302 2718595 2782070 2817453 3060277 3262314 4173105 4695755 5285933 5437190 5634906 6120554 8155785 8346210 9180831 9391510 10330661 10571866 14087265 15301385 15857799 16311570 18361662 20661322 26429665 28174530 30602770 30991983 31715598 45904155 51653305 52859330 58145263 61983966 79288995 91808310 103306610 116290526 154959915 158577990 174435789 290726315 309919830 348871578 581452630 872178945 1744357890 13751493803 27502987606 41254481409 68757469015 82508962818 137514938030 151266431833 206272407045 261278382257 302532863666 412544814090 453799295499 522556764514 756332159165 783835146771 907598590998 1306391911285 1512664318330 1567670293542 2268996477495 2612783822570 2874062204827 3919175733855 4537992954990 5748124409654 7838351467710 8622186614481 14370311024135 17244373228962 28740622048270 43110933072405 86221866144810