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14824036516 = 2217235812
BaseRepresentation
bin11011100111001010…
…01101100010100100
31102021010001002011111
431303211031202210
5220324423132031
610450550314404
71033232142232
oct156345154244
942233032144
1014824036516
116317867053
122a58658a04
131523259553
14a08adb952
155bb6571b1
hex37394d8a4

14824036516 has 27 divisors (see below), whose sum is σ = 27565530307. Its totient is φ = 6974069120.

The previous prime is 14824036511. The next prime is 14824036553. The reversal of 14824036516 is 61563042841.

It is a happy number.

The square root of 14824036516 is 121754.

It is a perfect power (a square), and thus also a powerful number.

14824036516 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 6814502500 + 8009534016 = 82550^2 + 89496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14824036511) 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 8 ways as a sum of consecutive naturals, for example, 4137846 + ... + 4141426.

Almost surely, 214824036516 is an apocalyptic number.

14824036516 is the 121754-th square number.

It is an amenable number.

14824036516 is a deficient number, since it is larger than the sum of its proper divisors (12741493791).

14824036516 is an frugal number, since it uses more digits than its factorization.

14824036516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 14824036516 in words is "fourteen billion, eight hundred twenty-four million, thirty-six thousand, five hundred sixteen".

Divisors: 1 2 4 17 34 68 289 578 1156 3581 7162 14324 60877 121754 243508 1034909 2069818 4139636 12823561 25647122 51294244 218000537 436001074 872002148 3706009129 7412018258 14824036516