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4133406017 = 13678146889
BaseRepresentation
bin1111011001011110…
…1100010101000001
3101200001201210002202
43312113230111001
531431122443032
61522053122545
7204300241256
oct36627542501
911601653082
104133406017
111831222134
12974329455
1350b4605a0
142b2d5d42d
15192d27d62
hexf65ec541

4133406017 has 8 divisors (see below), whose sum is σ = 4452111720. Its totient is φ = 3814807680.

The previous prime is 4133406007. The next prime is 4133406031. The reversal of 4133406017 is 7106043314.

It can be written as a sum of positive squares in 4 ways, for example, as 109914256 + 4023491761 = 10484^2 + 63431^2 .

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 4133406017 - 26 = 4133405953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133406007) 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 7 ways as a sum of consecutive naturals, for example, 64709 + ... + 111597.

It is an arithmetic number, because the mean of its divisors is an integer number (556513965).

Almost surely, 24133406017 is an apocalyptic number.

It is an amenable number.

4133406017 is a deficient number, since it is larger than the sum of its proper divisors (318705703).

4133406017 is a wasteful number, since it uses less digits than its factorization.

4133406017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53683.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 4133406017 is about 64291.5703416863. The cubic root of 4133406017 is about 1604.8558233343.

The spelling of 4133406017 in words is "four billion, one hundred thirty-three million, four hundred six thousand, seventeen".

Divisors: 1 13 6781 46889 88153 609557 317954309 4133406017