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12090286026 = 2327132567779
BaseRepresentation
bin10110100001010001…
…10001111111001010
31011012121000011111100
423100220301333022
5144230103123101
65315412442230
7605415510210
oct132050617712
934177004440
1012090286026
115144718925
122415019376
1311a8a86a00
14829a00cb0
154ab656e86
hex2d0a31fca

12090286026 has 72 divisors (see below), whose sum is σ = 32417966880. Its totient is φ = 3188641248.

The previous prime is 12090286009. The next prime is 12090286027. The reversal of 12090286026 is 62068209021.

It is a happy number.

12090286026 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 28 + 602 + 6 = 666.

12090286026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090286027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262596 + ... + 305183.

It is an arithmetic number, because the mean of its divisors is an integer number (450249540).

Almost surely, 212090286026 is an apocalyptic number.

12090286026 is an abundant number, since it is smaller than the sum of its proper divisors (20327680854).

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

12090286026 is a wasteful number, since it uses less digits than its factorization.

12090286026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567820 (or 567804 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 12090 and 286026, that added together give a square (298116 = 5462).

The spelling of 12090286026 in words is "twelve billion, ninety million, two hundred eighty-six thousand, twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 21294 567779 1135558 1703337 3406674 3974453 5110011 7381127 7948906 10220022 11923359 14762254 22143381 23846718 35770077 44286762 51667889 66430143 71540154 95954651 103335778 132860286 155003667 191909302 287863953 310007334 465011001 575727906 671682557 863591859 930022002 1343365114 1727183718 2015047671 4030095342 6045143013 12090286026