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5438118345 = 3511191734647
BaseRepresentation
bin1010001000010001…
…10001100111001001
3112000222210000221120
411010020301213021
542114124241340
62255341425453
7251522146302
oct50410614711
915028700846
105438118345
112340748890
12107926b289
1368885840a
143983497a9
1521c6494d0
hex1442319c9

5438118345 has 32 divisors (see below), whose sum is σ = 9991572480. Its totient is φ = 2497890240.

The previous prime is 5438118319. The next prime is 5438118359.

It is a happy number.

5438118345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5438118345 - 214 = 5438101961 is a prime.

It is a super-2 number, since 2×54381183452 = 59146262268451078050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5438118297 and 5438118306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 864189 + ... + 870458.

It is an arithmetic number, because the mean of its divisors is an integer number (312236640).

Almost surely, 25438118345 is an apocalyptic number.

5438118345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5438118345 is a deficient number, since it is larger than the sum of its proper divisors (4553454135).

5438118345 is a wasteful number, since it uses less digits than its factorization.

5438118345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734685.

The product of its digits is 230400, while the sum is 42.

The square root of 5438118345 is about 73743.5986713423. The cubic root of 5438118345 is about 1758.5290681130.

The spelling of 5438118345 in words is "five billion, four hundred thirty-eight million, one hundred eighteen thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 1734647 5203941 8673235 19081117 26019705 32958293 57243351 95405585 98874879 164791465 286216755 362541223 494374395 1087623669 1812706115 5438118345