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34405406343632 = 2415560913818853
BaseRepresentation
bin1111101001010101000100…
…00001100000000111010000
311111211010100220221112122102
413310222202001200013100
514002144233010444012
6201101343034055532
710150465020433202
oct764524201400720
9144733326845572
1034405406343632
11aa65283a30005
123a37bb8b7a5a8
1316275539576cc
1486d3328c6772
153e9e6c0ec2c2
hex1f4aa20601d0

34405406343632 has 20 divisors (see below), whose sum is σ = 66660907999140. Its totient is φ = 17202591376128.

The previous prime is 34405406343617. The next prime is 34405406343697. The reversal of 34405406343632 is 23634360450443.

It can be written as a sum of positive squares in 2 ways, for example, as 20664624938896 + 13740781404736 = 4545836^2 + 3706856^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4419683 + ... + 9399170.

It is an arithmetic number, because the mean of its divisors is an integer number (3333045399957).

Almost surely, 234405406343632 is an apocalyptic number.

It is an amenable number.

34405406343632 is a deficient number, since it is larger than the sum of its proper divisors (32255501655508).

34405406343632 is a wasteful number, since it uses less digits than its factorization.

34405406343632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974470 (or 13974464 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 47.

The spelling of 34405406343632 in words is "thirty-four trillion, four hundred five billion, four hundred six million, three hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 155609 311218 622436 1244872 2489744 13818853 27637706 55275412 110550824 221101648 2150337896477 4300675792954 8601351585908 17202703171816 34405406343632