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14824767049 = 31323892
BaseRepresentation
bin11011100111001111…
…11111111001001001
31102021011102012021021
431303213333321021
5220330120021144
610451014112441
71033241304121
oct156347777111
942234365237
1014824767049
1163182159a4
122a5894b721
131523453c11
14a08c4bc81
155bb74d884
hex3739ffe49

14824767049 has 9 divisors (see below), whose sum is σ = 14910612213. Its totient is φ = 14739415392.

The previous prime is 14824767037. The next prime is 14824767059. The reversal of 14824767049 is 94076742841.

The square root of 14824767049 is 121757.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10272836025 + 4551931024 = 101355^2 + 67468^2 .

It is not a de Polignac number, because 14824767049 - 211 = 14824765001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14824766987 and 14824767005.

It is not an unprimeable number, because it can be changed into a prime (14824767029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38109747 + ... + 38110135.

Almost surely, 214824767049 is an apocalyptic number.

14824767049 is the 121757-th square number.

14824767049 is the 60879-th centered octagonal number.

It is an amenable number.

14824767049 is a deficient number, since it is larger than the sum of its proper divisors (85845164).

14824767049 is an frugal number, since it uses more digits than its factorization.

14824767049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

It can be divided in two parts, 148247 and 67049, that added together give a square (215296 = 4642).

The spelling of 14824767049 in words is "fourteen billion, eight hundred twenty-four million, seven hundred sixty-seven thousand, forty-nine".

Divisors: 1 313 389 97969 121757 151321 38109941 47363473 14824767049