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349047110027 = 71141148774353
BaseRepresentation
bin1010001010001001101…
…01000011100110001011
31020100221200201101001202
411011010311003212023
521204322030010102
6424203334534415
734134466324250
oct5050465034613
91210850641052
10349047110027
11125036aa2a80
125779320740b
1326bb83472c5
1412c730a9427
15912d57ae02
hex5144d4398b

349047110027 has 32 divisors (see below), whose sum is σ = 446095448064. Its totient is φ = 265168972800.

The previous prime is 349047110023. The next prime is 349047110029. The reversal of 349047110027 is 720011740943.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 349047110027 - 22 = 349047110023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349047110023) 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 31 ways as a sum of consecutive naturals, for example, 4657283 + ... + 4731635.

It is an arithmetic number, because the mean of its divisors is an integer number (13940482752).

Almost surely, 2349047110027 is an apocalyptic number.

349047110027 is a deficient number, since it is larger than the sum of its proper divisors (97048338037).

349047110027 is a wasteful number, since it uses less digits than its factorization.

349047110027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75899.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 349047110027 in words is "three hundred forty-nine billion, forty-seven million, one hundred ten thousand, twenty-seven".

Divisors: 1 7 11 41 77 287 451 1487 3157 10409 16357 60967 74353 114499 426769 520471 670637 817883 3048473 4694459 5725181 21339311 33533203 110562911 234732421 773940377 1216192021 4533079351 8513344147 31731555457 49863872861 349047110027