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261227073609348 = 223711289288777613
BaseRepresentation
bin111011011001010110101010…
…111011011001111010000100
31021020221001201220111112121020
4323121112222323121322010
5233214421021320444343
62323330021053551140
7106011014256121050
oct7331265273317204
91236831656445536
10261227073609348
1176264863970a00
122536b6824a54b0
13b29b7b8439252
14487165a3a8c60
1520301b05a2b83
hexed95aaed9e84

261227073609348 has 144 divisors (see below), whose sum is σ = 774293640865920. Its totient is φ = 67088814819840.

The previous prime is 261227073609343. The next prime is 261227073609349. The reversal of 261227073609348 is 843906370722162.

It is a happy number.

It is a super-2 number, since 2×2612270736093482 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261227073609291 and 261227073609300.

It is not an unprimeable number, because it can be changed into a prime (261227073609343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143484211 + ... + 145293402.

It is an arithmetic number, because the mean of its divisors is an integer number (5377039172680).

Almost surely, 2261227073609348 is an apocalyptic number.

261227073609348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

261227073609348 is an abundant number, since it is smaller than the sum of its proper divisors (513066567256572).

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

261227073609348 is a wasteful number, since it uses less digits than its factorization.

261227073609348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288777738 (or 288777725 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 261227073609348 in words is "two hundred sixty-one trillion, two hundred twenty-seven billion, seventy-three million, six hundred nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 89 121 132 154 178 231 242 267 308 356 363 462 484 534 623 726 847 924 979 1068 1246 1452 1694 1869 1958 2492 2541 2937 3388 3738 3916 5082 5874 6853 7476 10164 10769 11748 13706 20559 21538 27412 32307 41118 43076 64614 75383 82236 129228 150766 226149 301532 452298 904596 288777613 577555226 866332839 1155110452 1732665678 2021443291 3176553743 3465331356 4042886582 6064329873 6353107486 8085773164 9529661229 12128659746 12706214972 19059322458 22235876201 24257319492 25701207557 34942091173 38118644916 44471752402 51402415114 66707628603 69884182346 77103622671 88943504804 102804830228 104826273519 133415257206 139768364692 154207245342 179908452899 209652547038 244594638211 266830514412 282713283127 308414490684 359816905798 419305094076 489189276422 539725358697 565426566254 719633811596 733783914633 848139849381 978378552844 1079450717394 1130853132508 1467567829266 1696279698762 1978992981889 2158901434788 2935135658532 3109846114397 3392559397524 3957985963778 5936978945667 6219692228794 7915971927556 9329538343191 11873957891334 12439384457588 18659076686382 21768922800779 23747915782668 37318153372764 43537845601558 65306768402337 87075691203116 130613536804674 261227073609348