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6641928917 = 13173103993
BaseRepresentation
bin1100010111110001…
…11100101011010101
3122010212221221121022
412023320330223111
5102100313211132
63015023330525
7323410315151
oct61370745325
918125857538
106641928917
1128a9217558
121354450a45
1381b085170
1447018c061
1528d188e12
hex18be3cad5

6641928917 has 16 divisors (see below), whose sum is σ = 7599881520. Its totient is φ = 5770308096.

The previous prime is 6641928893. The next prime is 6641928919. The reversal of 6641928917 is 7198291466.

It can be written as a sum of positive squares in 8 ways, for example, as 1359691876 + 5282237041 = 36874^2 + 72679^2 .

It is not a de Polignac number, because 6641928917 - 220 = 6640880341 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641928919) 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, 11873 + ... + 115865.

It is an arithmetic number, because the mean of its divisors is an integer number (474992595).

Almost surely, 26641928917 is an apocalyptic number.

It is an amenable number.

6641928917 is a deficient number, since it is larger than the sum of its proper divisors (957952603).

6641928917 is a wasteful number, since it uses less digits than its factorization.

6641928917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104057 (or 104023 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 53.

The square root of 6641928917 is about 81498.0301418384. The cubic root of 6641928917 is about 1879.7412610762.

The spelling of 6641928917 in words is "six billion, six hundred forty-one million, nine hundred twenty-eight thousand, nine hundred seventeen".

Divisors: 1 13 17 221 289 3757 4913 63869 103993 1351909 1767881 22982453 30053977 390701701 510917609 6641928917