Search a number
-
+
5238120813 = 347612232731
BaseRepresentation
bin1001110000011011…
…10110000101101101
3111112001110002220120
410320031312011231
541211424331223
62223435035153
7243543202152
oct47015660555
914461402816
105238120813
112248867772
12102229bab9
136562a2293
14379968229
15209ce0be3
hex13837616d

5238120813 has 32 divisors (see below), whose sum is σ = 7284867072. Its totient is φ = 3345451200.

The previous prime is 5238120791. The next prime is 5238120829. The reversal of 5238120813 is 3180218325.

It is not a de Polignac number, because 5238120813 - 26 = 5238120749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238120413) 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 31 ways as a sum of consecutive naturals, for example, 1916658 + ... + 1919388.

It is an arithmetic number, because the mean of its divisors is an integer number (227652096).

Almost surely, 25238120813 is an apocalyptic number.

It is an amenable number.

5238120813 is a deficient number, since it is larger than the sum of its proper divisors (2046746259).

5238120813 is a wasteful number, since it uses less digits than its factorization.

5238120813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5238120813 is about 72374.8631294043. The cubic root of 5238120813 is about 1736.7014635907.

The spelling of 5238120813 in words is "five billion, two hundred thirty-eight million, one hundred twenty thousand, eight hundred thirteen".

Divisors: 1 3 47 61 141 183 223 669 2731 2867 8193 8601 10481 13603 31443 40809 128357 166591 385071 499773 609013 639341 1827039 1918023 7829777 23489331 28623611 37149793 85870833 111449379 1746040271 5238120813