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444443569657 = 29120112760733
BaseRepresentation
bin1100111011110101110…
…01101010110111111001
31120111012000222122010021
412131322321222313321
524240210023212112
6540101412050441
744052504003253
oct6357271526771
91514160878107
10444443569657
1116153a89905a
1272177303a21
1332bac19a159
141772298acd3
15b863573907
hex677ae6adf9

444443569657 has 8 divisors (see below), whose sum is σ = 460152068040. Its totient is φ = 428760595200.

The previous prime is 444443569651. The next prime is 444443569693. The reversal of 444443569657 is 756965344444.

It can be written as a sum of positive squares in 4 ways, for example, as 15858616761 + 428584952896 = 125931^2 + 654664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444443569657 - 27 = 444443569529 is a prime.

It is a super-2 number, since 2×4444435696572 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444443569595 and 444443569604.

It is not an unprimeable number, because it can be changed into a prime (444443569651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6345538 + ... + 6415195.

It is an arithmetic number, because the mean of its divisors is an integer number (57519008505).

Almost surely, 2444443569657 is an apocalyptic number.

It is an amenable number.

444443569657 is a deficient number, since it is larger than the sum of its proper divisors (15708498383).

444443569657 is a wasteful number, since it uses less digits than its factorization.

444443569657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761963.

The product of its digits is 174182400, while the sum is 61.

The spelling of 444443569657 in words is "four hundred forty-four billion, four hundred forty-three million, five hundred sixty-nine thousand, six hundred fifty-seven".

Divisors: 1 29 1201 34829 12760733 370061257 15325640333 444443569657