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5348668435 = 5111719301079
BaseRepresentation
bin1001111101100111…
…00011010000010011
3111210202110111201221
410332303203100103
541423224342220
62242424305511
7246354634345
oct47663432023
914722414657
105348668435
1122a5202840
121053312297
13673169986
1438a503295
1521487a9aa
hex13ece3413

5348668435 has 32 divisors (see below), whose sum is σ = 7803993600. Its totient is φ = 3468418560.

The previous prime is 5348668379. The next prime is 5348668441.

5348668435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5348668435 - 29 = 5348667923 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132775 + ... + 168304.

It is an arithmetic number, because the mean of its divisors is an integer number (243874800).

Almost surely, 25348668435 is an apocalyptic number.

5348668435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5348668435 is a deficient number, since it is larger than the sum of its proper divisors (2455325165).

5348668435 is a wasteful number, since it uses less digits than its factorization.

5348668435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301131.

The product of its digits is 8294400, while the sum is 52.

The square root of 5348668435 is about 73134.5912342443. The cubic root of 5348668435 is about 1748.8338827190.

The spelling of 5348668435 in words is "five billion, three hundred forty-eight million, six hundred sixty-eight thousand, four hundred thirty-five".

Divisors: 1 5 11 17 19 55 85 95 187 209 323 935 1045 1615 3553 17765 301079 1505395 3311869 5118343 5720501 16559345 25591715 28602505 56301773 62925511 97248517 281508865 314627555 486242585 1069733687 5348668435