Search a number
-
+
5080956231 = 3131923131153
BaseRepresentation
bin1001011101101100…
…10011110101000111
3111010002201022122010
410232312103311013
540401211044411
62200102305303
7236624262321
oct45666236507
914102638563
105080956231
11217808168a
12b99728233
1362c8652a0
14362b36611
151eb0e87a6
hex12ed93d47

5080956231 has 48 divisors (see below), whose sum is σ = 7731227616. Its totient is φ = 2950152192.

The previous prime is 5080956229. The next prime is 5080956233. The reversal of 5080956231 is 1326590805.

It is an interprime number because it is at equal distance from previous prime (5080956229) and next prime (5080956233).

It is not a de Polignac number, because 5080956231 - 21 = 5080956229 is a prime.

It is a super-2 number, since 2×50809562312 = 51632232442675450722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5080956231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5080956233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4406151 + ... + 4407303.

It is an arithmetic number, because the mean of its divisors is an integer number (161067242).

It is the magic constant of a 2166 × 2166 magic square.

Almost surely, 25080956231 is an apocalyptic number.

5080956231 is a deficient number, since it is larger than the sum of its proper divisors (2650271385).

5080956231 is a wasteful number, since it uses less digits than its factorization.

5080956231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5080956231 is about 71280.8265314032. The cubic root of 5080956231 is about 1719.1554614269.

The spelling of 5080956231 in words is "five billion, eighty million, nine hundred fifty-six thousand, two hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 313 361 741 939 1083 1153 3459 4069 4693 5947 12207 14079 14989 17841 21907 44967 65721 77311 112993 231933 284791 338979 360889 416233 854373 1082667 1248699 1468909 4406727 4691557 5411029 6856891 14074671 16233087 20570673 89139583 130280929 267418749 390842787 1693652077 5080956231