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14806664424 = 23328910132281
BaseRepresentation
bin11011100101000101…
…11100010011101000
31102012220100111010200
431302202330103220
5220311001230144
610445130112200
71032631366566
oct156242742350
942186314120
1014806664424
116308a81152
122a5287b660
13151c7862c6
14a06698a36
155b9d74c69
hex3728bc4e8

14806664424 has 96 divisors (see below), whose sum is σ = 40609787400. Its totient is φ = 4873144320.

The previous prime is 14806664417. The next prime is 14806664479. The reversal of 14806664424 is 42446660841.

14806664424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6040087524 + 8766576900 = 77718^2 + 93630^2 .

It is a super-2 number, since 2×148066644242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14806664424.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6490164 + ... + 6492444.

Almost surely, 214806664424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14806664424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304893700).

14806664424 is an abundant number, since it is smaller than the sum of its proper divisors (25803122976).

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

14806664424 is a wasteful number, since it uses less digits than its factorization.

14806664424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 14806664424 in words is "fourteen billion, eight hundred six million, six hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1013 1068 1602 2026 2136 2281 3039 3204 4052 4562 6078 6408 6843 8104 9117 9124 12156 13686 18234 18248 20529 24312 27372 36468 41058 54744 72936 82116 90157 164232 180314 203009 270471 360628 406018 540942 609027 721256 811413 812036 1081884 1218054 1622826 1624072 1827081 2163768 2310653 2436108 3245652 3654162 4621306 4872216 6491304 6931959 7308324 9242612 13863918 14616648 18485224 20795877 27727836 41591754 55455672 83183508 166367016 205648117 411296234 616944351 822592468 1233888702 1645184936 1850833053 2467777404 3701666106 4935554808 7403332212 14806664424