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16426126665 = 32513176127077
BaseRepresentation
bin11110100110001001…
…01100110101001001
31120101202122200200200
433103010230311021
5232120042023130
611313540522413
71121024526054
oct172304546511
946352580620
1016426126665
116a6a1360a3
1232250b0409
13171a1447a0
14b1b7b7a9b
1566211a760
hex3d312cd49

16426126665 has 96 divisors (see below), whose sum is σ = 32999200416. Its totient is φ = 7485972480.

The previous prime is 16426126663. The next prime is 16426126667. The reversal of 16426126665 is 56662162461.

16426126665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16426126663) and next prime (16426126667).

It can be written as a sum of positive squares in 16 ways, for example, as 5680938384 + 10745188281 = 75372^2 + 103659^2 .

It is not a de Polignac number, because 16426126665 - 21 = 16426126663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16426126665.

It is not an unprimeable number, because it can be changed into a prime (16426126663) 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 95 ways as a sum of consecutive naturals, for example, 593107 + ... + 620183.

It is an arithmetic number, because the mean of its divisors is an integer number (343741671).

Almost surely, 216426126665 is an apocalyptic number.

16426126665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16426126665 is an abundant number, since it is smaller than the sum of its proper divisors (16573073751).

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

16426126665 is a wasteful number, since it uses less digits than its factorization.

16426126665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27179 (or 27176 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 16426126665 in words is "sixteen billion, four hundred twenty-six million, one hundred twenty-six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 61 65 85 117 153 183 195 221 255 305 549 585 663 765 793 915 1037 1105 1989 2379 2745 3111 3315 3965 5185 7137 9333 9945 11895 13481 15555 27077 35685 40443 46665 67405 81231 121329 135385 202215 243693 352001 406155 460309 606645 1056003 1218465 1380927 1651697 1760005 2301545 3168009 4142781 4955091 5280015 5984017 6904635 8258485 14865273 15840045 17952051 20713905 21472061 24775455 28078849 29920085 53856153 64416183 74326365 84236547 89760255 107360305 140394245 193248549 252709641 269280765 322080915 365025037 421182735 966242745 1095075111 1263548205 1825125185 3285225333 5475375555 16426126665