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4422478614961 = 11237251672
BaseRepresentation
bin100000001011011000001…
…0001000101000110110001
3120122210012010202000200211
41000112300101011012301
51034424214011134321
613223354132544121
7634341066661531
oct100266021050661
916583163660624
104422478614961
111455620980100
125b5133182041
13261065494174
14114098a6d4c1
157a08b0240e1
hex405b04451b1

4422478614961 has 27 divisors (see below), whose sum is σ = 4996969759467. Its totient is φ = 3911017627440.

The previous prime is 4422478614947. The next prime is 4422478614991. The reversal of 4422478614961 is 1694168742244.

The square root of 4422478614961 is 2102969.

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., 3957294597025 + 465184017936 = 1989295^2 + 682044^2 .

It is not a de Polignac number, because 4422478614961 - 211 = 4422478612913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4422478614896 and 4422478614905.

It is not an unprimeable number, because it can be changed into a prime (4422478614901) 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, 855905800 + ... + 855910966.

Almost surely, 24422478614961 is an apocalyptic number.

4422478614961 is the 2102969-th square number.

4422478614961 is the 1051485-th centered octagonal number.

It is an amenable number.

4422478614961 is a deficient number, since it is larger than the sum of its proper divisors (574491144506).

4422478614961 is an frugal number, since it uses more digits than its factorization.

4422478614961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 5215 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 58.

The spelling of 4422478614961 in words is "four trillion, four hundred twenty-two billion, four hundred seventy-eight million, six hundred fourteen thousand, nine hundred sixty-one".

Divisors: 1 11 37 121 407 1369 4477 5167 15059 56837 165649 191179 625207 2102969 7073623 23132659 26697889 77809853 293676779 855908383 987821893 3230444569 10866040823 36549410041 119526449053 402043510451 4422478614961