Search a number
-
+
866800082622114 = 233179294933206039
BaseRepresentation
bin1100010100010110011001111…
…1000001000001011010100010
311012200002021112010001200101000
43011011212133001001122202
51402103123032122401424
612311310243302452430
7350402145045403464
oct30505463701013242
94180067463050330
10866800082622114
1123120993a232783
12812737b5a34116
132b287b87ac1164
14114094c26ca134
156a326d545a3c9
hex314599f0416a2

866800082622114 has 128 divisors (see below), whose sum is σ = 2042148811968000. Its totient is φ = 271588175437824.

The previous prime is 866800082622041. The next prime is 866800082622127. The reversal of 866800082622114 is 411226280008668.

866800082622114 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 0 + 0 + 0 + 8 + 2 + 622 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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, 4206867907 + ... + 4207073945.

It is an arithmetic number, because the mean of its divisors is an integer number (15954287593500).

Almost surely, 2866800082622114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866800082622114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021074405984000).

866800082622114 is an abundant number, since it is smaller than the sum of its proper divisors (1175348729345886).

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

866800082622114 is a wasteful number, since it uses less digits than its factorization.

866800082622114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211929 (or 211923 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 866800082622114 in words is "eight hundred sixty-six trillion, eight hundred billion, eighty-two million, six hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 929 1858 2787 4933 5574 8361 9866 14799 15793 16722 25083 29598 31586 44397 47379 50166 83861 88794 94758 133191 142137 167722 206039 251583 266382 284274 412078 426411 503166 618117 754749 852822 1236234 1509498 1854351 2264247 3502663 3708702 4528494 4582757 5563053 7005326 9165514 10507989 11126106 13748271 21015978 27496542 31523967 41244813 63047934 77906869 82489626 94571901 123734439 155813738 189143802 191410231 233720607 247468878 382820462 467441214 574230693 701161821 1016390387 1148461386 1402323642 1722692079 2032780774 2103485463 3049171161 3253973927 3445384158 4206970926 5168076237 6098342322 6507947854 9147513483 9761921781 10336152474 17278636579 18295026966 19523843562 27442540449 29285765343 34557273158 51835909737 54885080898 58571530686 87857296029 103671819474 155507729211 175714592058 311015458422 466523187633 933046375266 944226669523 1888453339046 2832680008569 5665360017138 8498040025707 16051853381891 16996080051414 25494120077121 32103706763782 48155560145673 50988240154242 96311120291346 144466680437019 288933360874038 433400041311057 866800082622114