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86222427588012 = 22341641273399121
BaseRepresentation
bin10011100110101100111001…
…001010110000010110101100
3102022021210011020010202222110
4103212230321022300112230
542300132012430304022
6503214011510444020
724106236064000512
oct2346547112602654
9368253136122873
1086222427588012
11255227a96175a1
129806598663610
133915980b13901
14174128b30c4b2
159e7c9ac8700c
hex4e6b392b05ac

86222427588012 has 48 divisors (see below), whose sum is σ = 206414149917024. Its totient is φ = 27996069888000.

The previous prime is 86222427587987. The next prime is 86222427588013. The reversal of 86222427588012 is 21088572422268.

It is a super-2 number, since 2×862224275880122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86222427588013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136384189 + ... + 137014932.

It is an arithmetic number, because the mean of its divisors is an integer number (4300294789938).

Almost surely, 286222427588012 is an apocalyptic number.

86222427588012 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

86222427588012 is an abundant number, since it is smaller than the sum of its proper divisors (120191722329012).

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

86222427588012 is a wasteful number, since it uses less digits than its factorization.

86222427588012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273399810 (or 273399808 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 86222427588012 in words is "eighty-six trillion, two hundred twenty-two billion, four hundred twenty-seven million, five hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 641 1282 1923 2564 3846 7692 26281 52562 78843 105124 157686 315372 273399121 546798242 820197363 1093596484 1640394726 3280789452 11209363961 22418727922 33628091883 44837455844 67256183766 134512367532 175248836561 350497673122 525746509683 700995346244 1051493019366 2102986038732 7185202299001 14370404598002 21555606897003 28740809196004 43111213794006 86222427588012