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5306116035 = 3511191692541
BaseRepresentation
bin1001111000100010…
…01110011111000011
3111200210101121211010
410330101032133003
541331331203120
62234304252003
7245330146023
oct47421163703
914623347733
105306116035
112283189570
121041011003
136673bb43c
143849c7a83
15210c727e0
hex13c44e7c3

5306116035 has 32 divisors (see below), whose sum is σ = 9749041920. Its totient is φ = 2437257600.

The previous prime is 5306115977. The next prime is 5306116061.

5306116035 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5306116035 - 28 = 5306115779 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5306115993 and 5306116011.

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, 843136 + ... + 849405.

It is an arithmetic number, because the mean of its divisors is an integer number (304657560).

Almost surely, 25306116035 is an apocalyptic number.

5306116035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5306116035 is a deficient number, since it is larger than the sum of its proper divisors (4442925885).

5306116035 is a wasteful number, since it uses less digits than its factorization.

5306116035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692579.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5306116035 is about 72843.0918824840. The cubic root of 5306116035 is about 1744.1837968546.

It can be divided in two parts, 53061 and 16035, that added together give a palindrome (69096).

The spelling of 5306116035 in words is "five billion, three hundred six million, one hundred sixteen thousand, thirty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 1692541 5077623 8462705 18617951 25388115 32158279 55853853 93089755 96474837 160791395 279269265 353741069 482374185 1061223207 1768705345 5306116035