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444411605729 = 7137336662543
BaseRepresentation
bin1100111011110001111…
…11101111001011100001
31120111002210211200212002
412131320333233023201
524240123332340404
6540054311013345
744051635215050
oct6357077571341
91514083750762
10444411605729
11161523847093
127216866a255
1332ba56882a0
141771c62a397
15b86085cc1e
hex6778fef2e1

444411605729 has 16 divisors (see below), whose sum is σ = 547714417152. Its totient is φ = 351142613568.

The previous prime is 444411605717. The next prime is 444411605753. The reversal of 444411605729 is 927506114444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444411605729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444411605929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264569 + ... + 3397974.

It is an arithmetic number, because the mean of its divisors is an integer number (34232151072).

Almost surely, 2444411605729 is an apocalyptic number.

It is an amenable number.

444411605729 is a deficient number, since it is larger than the sum of its proper divisors (103302811423).

444411605729 is a wasteful number, since it uses less digits than its factorization.

444411605729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663296.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 444411605729 in words is "four hundred forty-four billion, four hundred eleven million, six hundred five thousand, seven hundred twenty-nine".

Divisors: 1 7 13 91 733 5131 9529 66703 6662543 46637801 86613059 606291413 4883644019 34185508133 63487372247 444411605729