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4138617067 = 131319241361
BaseRepresentation
bin1111011010101110…
…0100100011101011
3101200102112112022121
43312223210203223
531433441221232
61522400532111
7204362443654
oct36653444353
911612475277
104138617067
111834161292
12976021037
1350c566450
142b391852b
15193506d97
hexf6ae48eb

4138617067 has 8 divisors (see below), whose sum is σ = 4460369760. Its totient is φ = 3817349760.

The previous prime is 4138617061. The next prime is 4138617097. The reversal of 4138617067 is 7607168314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4138617067 - 23 = 4138617059 is a prime.

It is a super-3 number, since 3×41386170673 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4138617061) 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 7 ways as a sum of consecutive naturals, for example, 103534 + ... + 137827.

It is an arithmetic number, because the mean of its divisors is an integer number (557546220).

Almost surely, 24138617067 is an apocalyptic number.

4138617067 is a deficient number, since it is larger than the sum of its proper divisors (321752693).

4138617067 is a wasteful number, since it uses less digits than its factorization.

4138617067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242693.

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 4138617067 is about 64332.0842737121. The cubic root of 4138617067 is about 1605.5299624433.

The spelling of 4138617067 in words is "four billion, one hundred thirty-eight million, six hundred seventeen thousand, sixty-seven".

Divisors: 1 13 1319 17147 241361 3137693 318355159 4138617067