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2444009616 = 243216972289
BaseRepresentation
bin1001000110101100…
…1010000010010000
320022022211112220200
42101223022002100
520001131301431
61042303335200
7114364511316
oct22153120220
96268745820
102444009616
111044641664
125825b1500
132cc457549
141928380b6
15e486aee6
hex91aca090

2444009616 has 30 divisors (see below), whose sum is σ = 6839832870. Its totient is φ = 814669824.

The previous prime is 2444009611. The next prime is 2444009621. The reversal of 2444009616 is 6169004442.

2444009616 is a `hidden beast` number, since 244 + 400 + 9 + 6 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2444009611) and next prime (2444009621).

It can be written as a sum of positive squares in only one way, i.e., 1302921216 + 1141088400 = 36096^2 + 33780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2444009611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8486001 + ... + 8486288.

It is an arithmetic number, because the mean of its divisors is an integer number (227994429).

Almost surely, 22444009616 is an apocalyptic number.

It is an amenable number.

2444009616 is an abundant number, since it is smaller than the sum of its proper divisors (4395823254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2444009616 is a wasteful number, since it uses less digits than its factorization.

2444009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16972303 (or 16972294 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2444009616 is about 49436.9256325674. The cubic root of 2444009616 is about 1347.0001273142. Note that the first 3 decimals are identical.

It can be divided in two parts, 244400 and 9616, that added together give a square (254016 = 5042).

The spelling of 2444009616 in words is "two billion, four hundred forty-four million, nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16972289 33944578 50916867 67889156 101833734 135778312 152750601 203667468 271556624 305501202 407334936 611002404 814669872 1222004808 2444009616