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14530205118 = 231113113149867
BaseRepresentation
bin11011000100001000…
…10101010110111110
31101111122010220021010
431202010111112332
5214224213030433
610401452420050
71023033464022
oct154204252676
941448126233
1014530205118
116186a16190
122996177626
1314a740b410
149bba92382
155a0965e63
hex3621155be

14530205118 has 64 divisors (see below), whose sum is σ = 34443263232. Its totient is φ = 4028398080.

The previous prime is 14530205087. The next prime is 14530205119. The reversal of 14530205118 is 81150203541.

14530205118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145302051182 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530205119) 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 31 ways as a sum of consecutive naturals, for example, 22021 + ... + 171887.

It is an arithmetic number, because the mean of its divisors is an integer number (538175988).

Almost surely, 214530205118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530205118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221631616).

14530205118 is an abundant number, since it is smaller than the sum of its proper divisors (19913058114).

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

14530205118 is a wasteful number, since it uses less digits than its factorization.

14530205118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150009.

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 14530205118 its reverse (81150203541), we get a palindrome (95680408659).

The spelling of 14530205118 in words is "fourteen billion, five hundred thirty million, two hundred five thousand, one hundred eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 113 143 226 286 339 429 678 858 1243 1469 2486 2938 3729 4407 7458 8814 16159 32318 48477 96954 149867 299734 449601 899202 1648537 1948271 3297074 3896542 4945611 5844813 9891222 11689626 16934971 21430981 33869942 42861962 50804913 64292943 101609826 128585886 186284681 220154623 372569362 440309246 558854043 660463869 1117708086 1320927738 2421700853 4843401706 7265102559 14530205118