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44518046049 = 3253213272
BaseRepresentation
bin101001011101011110…
…110111100101100001
311020220112120001112100
4221131132313211201
51212133104433144
632241252121013
73134125101501
oct513536674541
9136815501470
1044518046049
11179753049a4
128765006169
134276106ca9
142224653a01
15125848c269
hexa5d7b7961

44518046049 has 27 divisors (see below), whose sum is σ = 65589443283. Its totient is φ = 29096778672.

The previous prime is 44518045987. The next prime is 44518046051. The reversal of 44518046049 is 94064081544.

The square root of 44518046049 is 210993.

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

44518046049 is a `hidden beast` number, since 4 + 4 + 5 + 180 + 460 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32092931025 + 12425115024 = 179145^2 + 111468^2 .

It is not a de Polignac number, because 44518046049 - 213 = 44518037857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44518045995 and 44518046013.

It is not an unprimeable number, because it can be changed into a prime (44518046449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33547224 + ... + 33548550.

Almost surely, 244518046049 is an apocalyptic number.

44518046049 is the 210993-rd square number.

44518046049 is the 105497-th centered octagonal number.

It is an amenable number.

44518046049 is a deficient number, since it is larger than the sum of its proper divisors (21071397234).

44518046049 is an frugal number, since it uses more digits than its factorization.

44518046049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 44518046049 in words is "forty-four billion, five hundred eighteen million, forty-six thousand, forty-nine".

Divisors: 1 3 9 53 159 477 1327 2809 3981 8427 11943 25281 70331 210993 632979 1760929 3727543 5282787 11182629 15848361 33547887 93329237 279987711 839963133 4946449561 14839348683 44518046049