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11681674982838 = 233734314667253
BaseRepresentation
bin1010100111111101101000…
…0101100111010110110110
31112100202110000101202022000
42221333122011213112312
53012343032243422323
640502253140120130
72313654540012000
oct251773205472666
945322400352260
1011681674982838
1137a4196a94a23
121387ba1396046
13669767213973
142c5578c07370
15153d01aa6e43
hexa9fda1675b6

11681674982838 has 128 divisors (see below), whose sum is σ = 30977240448000. Its totient is φ = 3260002098528.

The previous prime is 11681674982801. The next prime is 11681674982849. The reversal of 11681674982838 is 83828947618611.

It is a happy number.

11681674982838 is a `hidden beast` number, since 1 + 1 + 6 + 81 + 6 + 7 + 498 + 28 + 38 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6537181 + ... + 8130072.

It is an arithmetic number, because the mean of its divisors is an integer number (242009691000).

Almost surely, 211681674982838 is an apocalyptic number.

11681674982838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11681674982838 is an abundant number, since it is smaller than the sum of its proper divisors (19295565465162).

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

11681674982838 is a wasteful number, since it uses less digits than its factorization.

11681674982838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667328 (or 14667308 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 11681674982838 in words is "eleven trillion, six hundred eighty-one billion, six hundred seventy-four million, nine hundred eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 86 98 126 129 147 189 258 294 301 343 378 387 441 602 686 774 882 903 1029 1161 1323 1806 2058 2107 2322 2646 2709 3087 4214 5418 6174 6321 8127 9261 12642 14749 16254 18522 18963 29498 37926 44247 56889 88494 113778 132741 265482 398223 796446 14667253 29334506 44001759 88003518 102670771 132005277 205341542 264010554 308012313 396015831 616024626 630691879 718695397 792031662 924036939 1261383758 1437390794 1848073878 1892075637 2156086191 2772110817 3784151274 4312172382 4414843153 5030867779 5544221634 5676226911 6468258573 8829686306 10061735558 11352453822 12936517146 13244529459 15092603337 17028680733 19404775719 26489058918 30185206674 30903902071 34057361466 38809551438 39733588377 45277810011 61807804142 79467176754 90555620022 92711706213 119200765131 135833430033 185423412426 216327314497 238401530262 271666860066 278135118639 432654628994 556270237278 648981943491 834405355917 1297963886982 1668810711834 1946945830473 3893891660946 5840837491419 11681674982838