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814682807081 = 11313293183631
BaseRepresentation
bin10111101101011101110…
…00010001101100101001
32212212211122102121210022
423312232320101230221
5101321432244311311
61422132103530225
7112600412413523
oct13665670215451
92785748377708
10814682807081
1129456122a000
12111a83759975
135ba93b880c0
142b6063bca13
15162d234d5db
hexbdaee11b29

814682807081 has 128 divisors (see below), whose sum is σ = 1044567982080. Its totient is φ = 630086688000.

The previous prime is 814682806981. The next prime is 814682807083. The reversal of 814682807081 is 180708286418.

It is not a de Polignac number, because 814682807081 - 226 = 814615698217 is a prime.

It is a super-2 number, since 2×8146828070812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814682807083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1291097636 + ... + 1291098266.

It is an arithmetic number, because the mean of its divisors is an integer number (8160687360).

Almost surely, 2814682807081 is an apocalyptic number.

It is an amenable number.

814682807081 is a deficient number, since it is larger than the sum of its proper divisors (229885174999).

814682807081 is a wasteful number, since it uses less digits than its factorization.

814682807081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 53.

The spelling of 814682807081 in words is "eight hundred fourteen billion, six hundred eighty-two million, eight hundred seven thousand, eighty-one".

Divisors: 1 11 13 29 31 83 121 143 319 341 377 403 631 899 913 1079 1331 1573 2407 2573 3509 3751 4147 4433 6941 8203 9889 10043 11687 11869 17303 18299 19561 26477 28303 31291 33449 38599 41261 45617 48763 52373 74617 76351 90233 108779 110473 128557 130559 201289 215171 237887 254293 291247 311333 344201 367939 501787 536393 567269 576103 680849 820787 839861 970021 992563 1196569 1414127 1436149 1518817 1623563 2214179 2366881 2616757 2797223 3203717 3424663 3786211 4047329 6239959 6337133 7374497 7489339 9028657 10670231 10918193 15555397 16706987 17859193 19744621 21106319 24355969 26035691 28784327 30769453 41648321 44520619 47083327 68639549 69708463 81119467 82382729 99315227 117372541 183776857 196451123 217190831 232169509 316627597 338463983 517916597 612083251 755035039 892314137 906210019 1291097951 2021545427 2160962353 2389099141 2553864599 5697082567 6732915761 9815455507 26280090551 28092510589 62667908237 74062073371 814682807081