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6830006105 = 513176181001
BaseRepresentation
bin1100101110001100…
…11001111101011001
3122121222212021000002
412113012121331121
5102441440143410
63045422422345
7331153044146
oct62706317531
918558767002
106830006105
1129953a674a
1213a74319b5
1384b026640
1448b1493cd
1529e93a7a5
hex197199f59

6830006105 has 16 divisors (see below), whose sum is σ = 9345675024. Its totient is φ = 4747008000.

The previous prime is 6830006089. The next prime is 6830006107. The reversal of 6830006105 is 5016000386.

It can be written as a sum of positive squares in 8 ways, for example, as 397324489 + 6432681616 = 19933^2 + 80204^2 .

It is not a de Polignac number, because 6830006105 - 24 = 6830006089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6830006107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089396 + ... + 3091605.

It is an arithmetic number, because the mean of its divisors is an integer number (584104689).

Almost surely, 26830006105 is an apocalyptic number.

6830006105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6830006105 is a deficient number, since it is larger than the sum of its proper divisors (2515668919).

6830006105 is a wasteful number, since it uses less digits than its factorization.

6830006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181036.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 6830006105 is about 82643.8509811831. The cubic root of 6830006105 is about 1897.3190355604.

The spelling of 6830006105 in words is "six billion, eight hundred thirty million, six thousand, one hundred five".

Divisors: 1 5 13 17 65 85 221 1105 6181001 30905005 80353013 105077017 401765065 525385085 1366001221 6830006105