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4226305001741 = 17312258695293
BaseRepresentation
bin111101100000000011011…
…010001000100100001101
3112222000211110110221002022
4331200003122020210031
51023220433040023431
612553312051335525
7614224530533234
oct75400332104415
915860743427068
104226305001741
11138a402aa2a29
12583104bb15a5
13248700b1a8a4
141087a8c2bb1b
1574e0897e07b
hex3d80368890d

4226305001741 has 12 divisors (see below), whose sum is σ = 4623919684956. Its totient is φ = 3849385944960.

The previous prime is 4226305001713. The next prime is 4226305001749. The reversal of 4226305001741 is 1471005036224.

It can be written as a sum of positive squares in 2 ways, for example, as 3386873399716 + 839431602025 = 1840346^2 + 916205^2 .

It is a de Polignac number, because none of the positive numbers 2k-4226305001741 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226305001749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129331310 + ... + 129363983.

It is an arithmetic number, because the mean of its divisors is an integer number (385326640413).

Almost surely, 24226305001741 is an apocalyptic number.

It is an amenable number.

4226305001741 is a deficient number, since it is larger than the sum of its proper divisors (397614683215).

4226305001741 is a wasteful number, since it uses less digits than its factorization.

4226305001741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258695372 (or 258695341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 4226305001741 in words is "four trillion, two hundred twenty-six billion, three hundred five million, one thousand, seven hundred forty-one".

Divisors: 1 17 31 527 961 16337 258695293 4397819981 8019554083 136332419411 248606176573 4226305001741