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10985482868283 = 32711197109117361
BaseRepresentation
bin1001111111011100000111…
…0011011101011000111011
31102220012110012002222101100
42133313001303131120323
52414441232103241113
635210354451022443
72212450335456210
oct237670163353073
942805405088340
1010985482868283
113555a0a762aa0
121295087b9aa23
13618c079423a1
1429d9b3527b07
15140b56e76d73
hex9fdc1cdd63b

10985482868283 has 96 divisors (see below), whose sum is σ = 20827717747200. Its totient is φ = 5405582822400.

The previous prime is 10985482868279. The next prime is 10985482868287. The reversal of 10985482868283 is 38286828458901.

It is a happy number.

10985482868283 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 5 + 482 + 8 + 68 + 2 + 83 = 666.

It is an interprime number because it is at equal distance from previous prime (10985482868279) and next prime (10985482868287).

It is not a de Polignac number, because 10985482868283 - 22 = 10985482868279 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10985482868287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93545523 + ... + 93662883.

It is an arithmetic number, because the mean of its divisors is an integer number (216955393200).

Almost surely, 210985482868283 is an apocalyptic number.

10985482868283 is a deficient number, since it is larger than the sum of its proper divisors (9842234878917).

10985482868283 is a wasteful number, since it uses less digits than its factorization.

10985482868283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124513 (or 124510 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 10985482868283 in words is "ten trillion, nine hundred eighty-five billion, four hundred eighty-two million, eight hundred sixty-eight thousand, two hundred eighty-three".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 7109 13167 21327 49763 63981 78199 117361 135071 149289 234597 352083 405213 447867 547393 703791 821527 945497 1056249 1215639 1290971 1485781 1642179 2229859 2464581 2836491 3872913 4457343 4926537 6689577 7393743 8509473 9036797 10400467 11618739 13372029 15609013 20068731 24528449 27110391 31201401 46827039 73585347 81331173 93604203 140481117 171699143 220756041 515097429 834319349 1545292287 2502958047 5840235443 7508874141 9177512839 15852067631 17520706329 27532538517 47556202893 52562118987 64242589873 82597615551 110964473417 142668608679 174372743941 192727769619 332893420251 523118231823 578183308857 998680260753 1220609207587 1569354695469 3661827622761 10985482868283