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4146729217 = 41267737781
BaseRepresentation
bin1111011100101010…
…0001000100000001
3101200222210200002121
43313022201010001
531443030313332
61523250444241
7204521421361
oct36712410401
911628720077
104146729217
1118387a2044
12978893681
13511146937
142b4a2a9a1
151940aa797
hexf72a1101

4146729217 has 8 divisors (see below), whose sum is σ = 4249568232. Its totient is φ = 4043971200.

The previous prime is 4146729161. The next prime is 4146729259. The reversal of 4146729217 is 7129276414.

It can be written as a sum of positive squares in 4 ways, for example, as 4648336 + 4142080881 = 2156^2 + 64359^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4146729217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4146729277) 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 7 ways as a sum of consecutive naturals, for example, 90867 + ... + 128647.

It is an arithmetic number, because the mean of its divisors is an integer number (531196029).

Almost surely, 24146729217 is an apocalyptic number.

It is an amenable number.

4146729217 is a deficient number, since it is larger than the sum of its proper divisors (102839015).

4146729217 is a wasteful number, since it uses less digits than its factorization.

4146729217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40499.

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

The square root of 4146729217 is about 64395.1024302314. The cubic root of 4146729217 is about 1606.5782835964.

The spelling of 4146729217 in words is "four billion, one hundred forty-six million, seven hundred twenty-nine thousand, two hundred seventeen".

Divisors: 1 41 2677 37781 109757 1549021 101139737 4146729217