Search a number
-
+
8355438117 = 35137137253
BaseRepresentation
bin1111100100000010…
…11101111000100101
3210120022020020100000
413302001131320211
5114102443004432
63501034011513
7414025023615
oct76201357045
923508206300
108355438117
1135a8477364
121752276b99
13a32081630
1459398ca45
1533d80a57c
hex1f205de25

8355438117 has 48 divisors (see below), whose sum is σ = 13668939648. Its totient is φ = 5069252160.

The previous prime is 8355438109. The next prime is 8355438139. The reversal of 8355438117 is 7118345538.

It is a happy number.

8355438117 is a `hidden beast` number, since 8 + 3 + 554 + 3 + 81 + 17 = 666.

It is not a de Polignac number, because 8355438117 - 23 = 8355438109 is a prime.

It is a super-2 number, since 2×83554381172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8355438187) 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 47 ways as a sum of consecutive naturals, for example, 205663 + ... + 242915.

It is an arithmetic number, because the mean of its divisors is an integer number (284769576).

Almost surely, 28355438117 is an apocalyptic number.

It is an amenable number.

8355438117 is a deficient number, since it is larger than the sum of its proper divisors (5313501531).

8355438117 is a wasteful number, since it uses less digits than its factorization.

8355438117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37352 (or 37340 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 8355438117 is about 91408.0856215685. The cubic root of 8355438117 is about 2029.1916926368.

The spelling of 8355438117 in words is "eight billion, three hundred fifty-five million, four hundred thirty-eight thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 39 71 81 117 213 243 351 639 923 1053 1917 2769 3159 5751 8307 17253 24921 37253 74763 111759 224289 335277 484289 1005831 1452867 2644963 3017493 4358601 7934889 9052479 13075803 23804667 34384519 39227409 71414001 103153557 117682227 214242003 309460671 642726009 928382013 2785146039 8355438117