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20380018241 = 1119895472003
BaseRepresentation
bin10010111110101111…
…100110011001000001
31221121022121012021102
4102332233212121001
5313214241040431
613210142304145
71321015203542
oct227657463101
957538535242
1020380018241
118708a97390
123b49288055
131bca3411bb
14db49684c9
157e42d3dcb
hex4bebe6641

20380018241 has 32 divisors (see below), whose sum is σ = 23720947200. Its totient is φ = 17314577280.

The previous prime is 20380018207. The next prime is 20380018247. The reversal of 20380018241 is 14281008302.

It is not a de Polignac number, because 20380018241 - 230 = 19306276417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20380018247) 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 31 ways as a sum of consecutive naturals, for example, 10173746 + ... + 10175748.

It is an arithmetic number, because the mean of its divisors is an integer number (741279600).

Almost surely, 220380018241 is an apocalyptic number.

It is an amenable number.

20380018241 is a deficient number, since it is larger than the sum of its proper divisors (3340928959).

20380018241 is a wasteful number, since it uses less digits than its factorization.

20380018241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669.

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 20380018241 in words is "twenty billion, three hundred eighty million, eighteen thousand, two hundred forty-one".

Divisors: 1 11 19 89 209 547 979 1691 2003 6017 10393 18601 22033 38057 48683 114323 178267 418627 535513 924977 1095641 1960937 3387073 10174747 12052051 20817179 37257803 97512049 228988969 1072632539 1852728931 20380018241