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11266640055 = 3351143732417
BaseRepresentation
bin10100111111000101…
…10100100010110111
31002002012011121122000
422133202310202313
5141033224440210
65101551110343
7546124601046
oct123742644267
932065147560
1011266640055
1148617a7480
1222252123b3
1310a7245028
1478c47c55d
1545e1adac0
hex29f8b48b7

11266640055 has 128 divisors (see below), whose sum is σ = 22674263040. Its totient is φ = 5260308480.

The previous prime is 11266640053. The next prime is 11266640071. The reversal of 11266640055 is 55004666211.

Together with 11407622984 it forms a betrothed pair.

It is not a de Polignac number, because 11266640055 - 21 = 11266640053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266640053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4660207 + ... + 4662623.

It is an arithmetic number, because the mean of its divisors is an integer number (177142680).

Almost surely, 211266640055 is an apocalyptic number.

11266640055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11266640055 is an abundant number, since it is smaller than the sum of its proper divisors (11407622985).

11266640055 is a wasteful number, since it uses less digits than its factorization.

11266640055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11266640055 in words is "eleven billion, two hundred sixty-six million, six hundred forty thousand, fifty-five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 73 99 129 135 165 215 219 297 365 387 473 495 645 657 803 1095 1161 1419 1485 1935 1971 2365 2409 2417 3139 3285 4015 4257 5805 7095 7227 7251 9417 9855 12045 12085 12771 15695 21285 21681 21753 26587 28251 34529 36135 36255 47085 63855 65259 79761 84753 103587 103931 108405 108765 132935 141255 172645 176441 239283 310761 311793 326295 398805 423765 517935 519655 529323 717849 882205 932283 935379 1143241 1196415 1553805 1558965 1587969 1940851 2646615 2806137 3429723 3589245 4661415 4676895 4763907 5716205 5822553 7586963 7939845 9704255 10289169 14030685 17148615 17467659 22760889 23819535 29112765 30867507 37934815 51445845 52402977 68282667 83456593 87338295 113804445 154337535 204848001 250369779 262014885 341413335 417282965 751109337 1024240005 1251848895 2253328011 3755546685 11266640055