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444056256613 = 1923751976397
BaseRepresentation
bin1100111011000111101…
…00001100000001100101
31120110012001012002111201
412131203310030001211
524233411400202423
6535555134402501
744040061621564
oct6354364140145
91513161162451
10444056256613
111613611a9032
1272089660431
1332b49b7b438
14176c7369bdb
15b83e5692ad
hex6763d0c065

444056256613 has 24 divisors (see below), whose sum is σ = 481492008312. Its totient is φ = 409172280192.

The previous prime is 444056256577. The next prime is 444056256647. The reversal of 444056256613 is 316652650444.

It can be written as a sum of positive squares in 4 ways, for example, as 27280137889 + 416776118724 = 165167^2 + 645582^2 .

It is not a de Polignac number, because 444056256613 - 29 = 444056256101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444056256653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69413131 + ... + 69419527.

It is an arithmetic number, because the mean of its divisors is an integer number (20062167013).

Almost surely, 2444056256613 is an apocalyptic number.

It is an amenable number.

444056256613 is a deficient number, since it is larger than the sum of its proper divisors (37435751699).

444056256613 is a wasteful number, since it uses less digits than its factorization.

444056256613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11650 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 444056256613 in words is "four hundred forty-four billion, fifty-six million, two hundred fifty-six thousand, six hundred thirteen".

Divisors: 1 19 37 361 703 5197 6397 13357 98743 121543 192289 236689 1876117 2309317 3653491 4497091 33245209 69416329 85444729 631658971 1230072733 12001520449 23371381927 444056256613