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4433622950689 = 241287372
BaseRepresentation
bin100000010000100100010…
…0001010110001100100001
3120200211221210202221022221
41000201020201112030201
51040120024433410224
613232440034431041
7635214211163332
oct100411041261441
916624853687287
104433622950689
11145a31a631519
125b7323432481
1326212028646a
14114834b92289
157a4de5c46e4
hex40848856321

4433622950689 has 9 divisors (see below), whose sum is σ = 4452605687961. Its totient is φ = 4414720826880.

The previous prime is 4433622950671. The next prime is 4433622950741. The reversal of 4433622950689 is 9860592263344.

The square root of 4433622950689 is 2105617.

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 88099144225 + 4345523806464 = 296815^2 + 2084592^2 .

It is not a de Polignac number, because 4433622950689 - 217 = 4433622819617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4433622950639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 507449329 + ... + 507458065.

It is an arithmetic number, because the mean of its divisors is an integer number (494733965329).

Almost surely, 24433622950689 is an apocalyptic number.

4433622950689 is the 2105617-th square number.

4433622950689 is the 1052809-th centered octagonal number.

It is an amenable number.

4433622950689 is a deficient number, since it is larger than the sum of its proper divisors (18982737272).

4433622950689 is an frugal number, since it uses more digits than its factorization.

4433622950689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17956 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 61.

The spelling of 4433622950689 in words is "four trillion, four hundred thirty-three billion, six hundred twenty-two million, nine hundred fifty thousand, six hundred eighty-nine".

Divisors: 1 241 8737 58081 2105617 76335169 507453697 18396775729 4433622950689