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44924074209 = 3272100932
BaseRepresentation
bin101001110101101011…
…101111100011100001
311021221211120102110100
4221311223233203201
51214001030333314
632345434453013
73150155221200
oct516553574341
9137854512410
1044924074209
1118063517963
128858b94169
13430c279341
142262547237
15127de41c09
hexa75aef8e1

44924074209 has 27 divisors (see below), whose sum is σ = 75492148563. Its totient is φ = 25668356112.

The previous prime is 44924074201. The next prime is 44924074219. The reversal of 44924074209 is 90247042944.

The square root of 44924074209 is 211953.

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

It can be written as a sum of positive squares in only one way, i.e., 22893203025 + 22030871184 = 151305^2 + 148428^2 .

It is not a de Polignac number, because 44924074209 - 23 = 44924074201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44924074201) 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, 4445967 + ... + 4456059.

Almost surely, 244924074209 is an apocalyptic number.

44924074209 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44924074209 is the 211953-rd square number.

44924074209 is the 105977-th centered octagonal number.

It is an amenable number.

44924074209 is a deficient number, since it is larger than the sum of its proper divisors (30568074354).

44924074209 is an frugal number, since it uses more digits than its factorization.

44924074209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20206 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 44924074209 in words is "forty-four billion, nine hundred twenty-four million, seventy-four thousand, two hundred nine".

Divisors: 1 3 7 9 21 49 63 147 441 10093 30279 70651 90837 211953 494557 635859 1483671 4451013 101868649 305605947 713080543 916817841 2139241629 4991563801 6417724887 14974691403 44924074209