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5362816420 = 22513181113957
BaseRepresentation
bin1001111111010011…
…00001010110100100
3111211202002022010101
410333221201112210
541440340111140
62244051433444
7246616121203
oct47751412644
914752068111
105362816420
112302196395
121057bb5884
13676081570
1438c34723a
15215c2299a
hex13fa615a4

5362816420 has 48 divisors (see below), whose sum is σ = 12195329328. Its totient is φ = 1969159680.

The previous prime is 5362816409. The next prime is 5362816421. The reversal of 5362816420 is 246182635.

It can be written as a sum of positive squares in 8 ways, for example, as 663165504 + 4699650916 = 25752^2 + 68554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5362816420.

It is not an unprimeable number, because it can be changed into a prime (5362816421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9919 + ... + 104038.

It is an arithmetic number, because the mean of its divisors is an integer number (254069361).

Almost surely, 25362816420 is an apocalyptic number.

It is an amenable number.

5362816420 is an abundant number, since it is smaller than the sum of its proper divisors (6832512908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5362816420 is a wasteful number, since it uses less digits than its factorization.

5362816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114160 (or 114158 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5362816420 is about 73231.2530276521. The cubic root of 5362816420 is about 1750.3744961794.

The spelling of 5362816420 in words is "five billion, three hundred sixty-two million, eight hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 9412 11765 23530 47060 113957 227914 455828 569785 1139570 1481441 2279140 2962882 5925764 7407205 14814410 20626217 29628820 41252434 82504868 103131085 206262170 268140821 412524340 536281642 1072563284 1340704105 2681408210 5362816420