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14836945249 = 72174012
BaseRepresentation
bin11011101000101100…
…11101000101100001
31102022000022220121201
431310112131011201
5220341224221444
610452131121201
71033446645100
oct156426350541
942260286551
1014836945249
116324083625
122a60a43201
131525b29059
14a0a6dc037
155bc856dd4
hex37459d161

14836945249 has 9 divisors (see below), whose sum is σ = 17260295571. Its totient is φ = 12716650800.

The previous prime is 14836945241. The next prime is 14836945259. The reversal of 14836945249 is 94254963841.

The square root of 14836945249 is 121807.

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

14836945249 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 only one way, i.e., 8734210849 + 6102734400 = 93457^2 + 78120^2 .

It is not a de Polignac number, because 14836945249 - 23 = 14836945241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14836945249.

It is not an unprimeable number, because it can be changed into a prime (14836945241) 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, 843949 + ... + 861349.

It is an arithmetic number, because the mean of its divisors is an integer number (1917810619).

Almost surely, 214836945249 is an apocalyptic number.

14836945249 is the 121807-th square number.

14836945249 is the 60904-th centered octagonal number.

It is an amenable number.

14836945249 is a deficient number, since it is larger than the sum of its proper divisors (2423350322).

14836945249 is an frugal number, since it uses more digits than its factorization.

14836945249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34816 (or 17408 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The spelling of 14836945249 in words is "fourteen billion, eight hundred thirty-six million, nine hundred forty-five thousand, two hundred forty-nine".

Divisors: 1 7 49 17401 121807 852649 302794801 2119563607 14836945249