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2864759879212 = 2271119607806483
BaseRepresentation
bin101001101100000000111…
…111101011011000101100
3101010212110001010022110121
4221230000333223120230
5333414012012113322
610032015202214324
7413654264124460
oct51540077533054
911125401108417
102864759879212
11a04a352a4310
123a32623543a4
1317a1b81359aa
149c9259024a0
154e7bb846ec7
hex29b00feb62c

2864759879212 has 96 divisors (see below), whose sum is σ = 6590200135680. Its totient is φ = 1055652678720.

The previous prime is 2864759879183. The next prime is 2864759879213. The reversal of 2864759879212 is 2129789574682.

It is a happy number.

2864759879212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2864759879213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148923 + ... + 3955405.

It is an arithmetic number, because the mean of its divisors is an integer number (68647918080).

Almost surely, 22864759879212 is an apocalyptic number.

2864759879212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864759879212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295100067840).

2864759879212 is an abundant number, since it is smaller than the sum of its proper divisors (3725440256468).

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

2864759879212 is a wasteful number, since it uses less digits than its factorization.

2864759879212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807131 (or 807129 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 70.

The spelling of 2864759879212 in words is "two trillion, eight hundred sixty-four billion, seven hundred fifty-nine million, eight hundred seventy-nine thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 607 836 1214 1463 2428 2926 4249 5852 6677 8498 11533 13354 16996 23066 26708 46132 46739 80731 93478 126863 161462 186956 253726 322924 507452 806483 888041 1612966 1776082 3225932 3552164 5645381 8871313 11290762 15323177 17742626 22581524 30646354 35485252 61292708 62099191 107262239 124198382 168554947 214524478 248396764 337109894 429048956 489535181 674219788 979070362 1179884629 1958140724 2359769258 3426746267 4719538516 5384886991 6853492534 9301168439 10769773982 13706985068 18602336878 21539547964 37204673756 37694208937 65108179073 75388417874 102312852829 130216358146 150776835748 204625705658 260432716292 409251411316 716189969803 1432379939606 2864759879212