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10676740338 = 23211192149371
BaseRepresentation
bin10011111000110001…
…00010000011110010
31000120002011121100100
421330120202003302
5133331221142323
64523235333230
7525402536565
oct117430420362
930502147310
1010676740338
114589818050
12209b751216
131011c74844
14733da44dc
154274d8943
hex27c6220f2

10676740338 has 72 divisors (see below), whose sum is σ = 26634222576. Its totient is φ = 3065072400.

The previous prime is 10676740309. The next prime is 10676740379. The reversal of 10676740338 is 83304767601.

It is a super-2 number, since 2×106767403382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10676740293 and 10676740302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3208 + ... + 146163.

It is an arithmetic number, because the mean of its divisors is an integer number (369919758).

Almost surely, 210676740338 is an apocalyptic number.

10676740338 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 10676740338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317111288).

10676740338 is an abundant number, since it is smaller than the sum of its proper divisors (15957482238).

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

10676740338 is a wasteful number, since it uses less digits than its factorization.

10676740338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149428 (or 149406 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10676740338 in words is "ten billion, six hundred seventy-six million, seven hundred forty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 418 627 722 1083 1254 1881 2166 3249 3762 3971 6498 7942 11913 23826 35739 71478 149371 298742 448113 896226 1344339 1643081 2688678 2838049 3286162 4929243 5676098 8514147 9858486 14787729 17028294 25542441 29575458 31218539 51084882 53922931 62437078 93655617 107845862 161768793 187311234 280966851 323537586 485306379 561933702 593152241 970612758 1186304482 1779456723 3558913446 5338370169 10676740338