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2441728135609 = 722232292
BaseRepresentation
bin100011100010000010010…
…101101001000110111001
322122102112020021010211221
4203202002111221012321
5310001124400314414
65105414151552041
7341260204464100
oct43420225510671
98572466233757
102441728135609
11861592971074
1233528198b621
1314933bca29c9
148627494b037
15437ace6d224
hex238825691b9

2441728135609 has 9 divisors (see below), whose sum is σ = 2840390351247. Its totient is φ = 2092900454904.

The previous prime is 2441728135597. The next prime is 2441728135633. The reversal of 2441728135609 is 9065318271442.

The square root of 2441728135609 is 1562603.

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., 148381351209 + 2293346784400 = 385203^2 + 1514380^2 .

It is not a de Polignac number, because 2441728135609 - 25 = 2441728135577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2441728135309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10826607 + ... + 11049835.

It is a 1-persistent number, because it is pandigital, but 2⋅2441728135609 = 4883456271218 is not.

Almost surely, 22441728135609 is an apocalyptic number.

2441728135609 is the 1562603-rd square number.

2441728135609 is the 781302-nd centered octagonal number.

It is an amenable number.

2441728135609 is a deficient number, since it is larger than the sum of its proper divisors (398662215638).

2441728135609 is an frugal number, since it uses more digits than its factorization.

2441728135609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446472 (or 223236 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 2441728135609 in words is "two trillion, four hundred forty-one billion, seven hundred twenty-eight million, one hundred thirty-five thousand, six hundred nine".

Divisors: 1 7 49 223229 1562603 10938221 49831186441 348818305087 2441728135609