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34738082743 = 7131776121493
BaseRepresentation
bin100000010110100011…
…010001001110110111
310022122221211110000011
4200112203101032313
51032120422121433
623543005401051
72336561555110
oct402643211667
9108587743004
1034738082743
11138068187a1
126895869187
133377b9ab60
14197780b207
15d84a953cd
hex8168d13b7

34738082743 has 16 divisors (see below), whose sum is σ = 42758959936. Its totient is φ = 27482250240.

The previous prime is 34738082723. The next prime is 34738082759. The reversal of 34738082743 is 34728083743.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34738082743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34738082723) 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 15 ways as a sum of consecutive naturals, for example, 1605505 + ... + 1626997.

It is an arithmetic number, because the mean of its divisors is an integer number (2672434996).

Almost surely, 234738082743 is an apocalyptic number.

34738082743 is a deficient number, since it is larger than the sum of its proper divisors (8020877193).

34738082743 is a wasteful number, since it uses less digits than its factorization.

34738082743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39274.

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 34738082743 in words is "thirty-four billion, seven hundred thirty-eight million, eighty-two thousand, seven hundred forty-three".

Divisors: 1 7 13 91 17761 21493 124327 150451 230893 279409 1616251 1955863 381737173 2672160211 4962583249 34738082743