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6141838113 = 32897667713
BaseRepresentation
bin1011011100001010…
…10000001100100001
3120212000221200222200
411232011100030201
5100034302304423
62453240523413
7305125522365
oct55605201441
916760850880
106141838113
1126719a8974
121234a80569
1376b59a948
144239b12a5
1525e303d43
hex16e150321

6141838113 has 12 divisors (see below), whose sum is σ = 8971225380. Its totient is φ = 4048551936.

The previous prime is 6141838099. The next prime is 6141838117. The reversal of 6141838113 is 3118381416.

6141838113 is a `hidden beast` number, since 614 + 1 + 8 + 38 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 608263569 + 5533574544 = 24663^2 + 74388^2 .

It is not a de Polignac number, because 6141838113 - 29 = 6141837601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6141838117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833056 + ... + 3834657.

It is an arithmetic number, because the mean of its divisors is an integer number (747602115).

Almost surely, 26141838113 is an apocalyptic number.

It is an amenable number.

6141838113 is a deficient number, since it is larger than the sum of its proper divisors (2829387267).

6141838113 is a wasteful number, since it uses less digits than its factorization.

6141838113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667808 (or 7667805 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 6141838113 is about 78369.8801389922. The cubic root of 6141838113 is about 1831.3279414570.

The spelling of 6141838113 in words is "six billion, one hundred forty-one million, eight hundred thirty-eight thousand, one hundred thirteen".

Divisors: 1 3 9 89 267 801 7667713 23003139 69009417 682426457 2047279371 6141838113