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12318417738 = 23311118717471
BaseRepresentation
bin10110111100011110…
…00010001101001010
31011210111021110101000
423132033002031022
5200212003331423
65354202235430
7614155552224
oct133617021512
934714243330
1012318417738
115251475630
1224794b5b76
1312141107a3
1484c027414
154c16bb843
hex2de3c234a

12318417738 has 64 divisors (see below), whose sum is σ = 29889699840. Its totient is φ = 3729495600.

The previous prime is 12318417721. The next prime is 12318417739. The reversal of 12318417738 is 83771481321.

12318417738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12318417693 and 12318417702.

It is not an unprimeable number, because it can be changed into a prime (12318417739) 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, 696343 + ... + 713813.

It is an arithmetic number, because the mean of its divisors is an integer number (467026560).

Almost surely, 212318417738 is an apocalyptic number.

12318417738 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 12318417738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

12318417738 is an abundant number, since it is smaller than the sum of its proper divisors (17571282102).

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

12318417738 is a wasteful number, since it uses less digits than its factorization.

12318417738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18680 (or 18674 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 12318417738 in words is "twelve billion, three hundred eighteen million, four hundred seventeen thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1187 2374 3561 7122 10683 13057 17471 21366 26114 32049 34942 39171 52413 64098 78342 104826 117513 157239 192181 235026 314478 352539 384362 471717 576543 705078 943434 1153086 1729629 3459258 5188887 10377774 20738077 41476154 62214231 124428462 186642693 228118847 373285386 456237694 559928079 684356541 1119856158 1368713082 2053069623 4106139246 6159208869 12318417738