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11479131918 = 235173144819
BaseRepresentation
bin10101011000011010…
…11010011100001110
31002122000000022200000
422230031122130032
5142002124210133
65135021345130
7554315003622
oct125415323416
932560008600
1011479131918
114960741791
1222844081a6
13110c284167
147ac793182
15472b84413
hex2ac35a70e

11479131918 has 96 divisors (see below), whose sum is σ = 28191421440. Its totient is φ = 3485047680.

The previous prime is 11479131889. The next prime is 11479131919. The reversal of 11479131918 is 81913197411.

11479131918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11479131919) 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, 233713 + ... + 278531.

It is an arithmetic number, because the mean of its divisors is an integer number (293660640).

Almost surely, 211479131918 is an apocalyptic number.

11479131918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11479131918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095710720).

11479131918 is an abundant number, since it is smaller than the sum of its proper divisors (16712289522).

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

11479131918 is a wasteful number, since it uses less digits than its factorization.

11479131918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44884 (or 44872 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The spelling of 11479131918 in words is "eleven billion, four hundred seventy-nine million, one hundred thirty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 243 279 306 459 486 527 558 837 918 1054 1377 1581 1674 2511 2754 3162 4131 4743 5022 7533 8262 9486 14229 15066 28458 42687 44819 85374 89638 128061 134457 256122 268914 403371 761923 806742 1210113 1389389 1523846 2285769 2420226 2778778 3630339 4168167 4571538 6857307 7260678 8336334 10891017 12504501 13714614 20571921 21782034 23619613 25009002 37513503 41143842 47239226 61715763 70858839 75027006 112540509 123431526 141717678 185147289 212576517 225081018 337621527 370294578 425153034 637729551 675243054 1275459102 1913188653 3826377306 5739565959 11479131918