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5118338115 = 32511241101227
BaseRepresentation
bin1001100010001001…
…11010010001000011
3111012201001111221100
410301010322101003
540440243304430
62203515425443
7240560104362
oct46104722103
914181044840
105118338115
112197194200
12baa155283
13637523247
14367aa77d9
151ee52e960
hex13113a443

5118338115 has 144 divisors (see below), whose sum is σ = 10132825248. Its totient is φ = 2386560000.

The previous prime is 5118338089. The next prime is 5118338119.

5118338115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5118338115 - 25 = 5118338083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5118338115.

It is not an unprimeable number, because it can be changed into a prime (5118338119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22547632 + ... + 22547858.

It is an arithmetic number, because the mean of its divisors is an integer number (70366842).

Almost surely, 25118338115 is an apocalyptic number.

5118338115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5118338115 is a deficient number, since it is larger than the sum of its proper divisors (5014487133).

5118338115 is a wasteful number, since it uses less digits than its factorization.

5118338115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 5118338115 is about 71542.5615630304. The cubic root of 5118338115 is about 1723.3612514968.

It can be divided in two parts, 51183 and 38115, that added together give a palindrome (89298).

The spelling of 5118338115 in words is "five billion, one hundred eighteen million, three hundred thirty-eight thousand, one hundred fifteen".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 101 121 123 165 205 227 303 363 369 451 495 505 605 615 681 909 1089 1111 1135 1353 1515 1815 1845 2043 2255 2497 3333 3405 4059 4141 4545 4961 5445 5555 6765 7491 9307 9999 10215 12221 12423 12485 14883 16665 20295 20705 22473 22927 24805 27467 27921 36663 37269 37455 44649 45551 46535 49995 61105 62115 68781 74415 82401 83763 102377 109989 112365 114635 136653 137335 139605 183315 186345 206343 223245 227755 247203 252197 307131 343905 409959 412005 418815 501061 511885 549945 683265 756591 921393 940007 1031715 1126147 1236015 1260985 1503183 1535655 2049795 2269773 2505305 2774167 2820021 3378441 3782955 4509549 4606965 4700035 5630735 7515915 8322501 8460063 10135323 10340077 11348865 13870835 14100105 16892205 22547745 24967503 31020231 41612505 42300315 50676615 51700385 93060693 113740847 124837515 155101155 341222541 465303465 568704235 1023667623 1706112705 5118338115