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261642312243 = 34131017393329
BaseRepresentation
bin1111001110101100011…
…0001101101000110011
3221000100022011121010000
43303223012031220303
513241320412442433
6320110302441043
724621511650024
oct3635306155063
9830308147100
10261642312243
11a0a6429a804
124285b593183
131b8990a8250
14c940b20c4b
156c14e83113
hex3ceb18da33

261642312243 has 80 divisors (see below), whose sum is σ = 425784189600. Its totient is φ = 159152947200.

The previous prime is 261642312241. The next prime is 261642312263. The reversal of 261642312243 is 342213246162.

261642312243 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 423 + 1 + 224 + 3 = 666.

It is not a de Polignac number, because 261642312243 - 21 = 261642312241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261642312198 and 261642312207.

It is not an unprimeable number, because it can be changed into a prime (261642312241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78593203 + ... + 78596531.

It is an arithmetic number, because the mean of its divisors is an integer number (5322302370).

Almost surely, 2261642312243 is an apocalyptic number.

261642312243 is a deficient number, since it is larger than the sum of its proper divisors (164141877357).

261642312243 is a wasteful number, since it uses less digits than its factorization.

261642312243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4185 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 261642312243 in words is "two hundred sixty-one billion, six hundred forty-two million, three hundred twelve thousand, two hundred forty-three".

Divisors: 1 3 9 13 27 39 81 101 117 303 351 739 909 1053 1313 2217 2727 3329 3939 6651 8181 9607 9987 11817 19953 28821 29961 35451 43277 59859 74639 86463 89883 106353 129831 223917 259389 269649 336229 389493 671751 778167 970307 1008687 1168479 2015253 2460131 2910921 3026061 3505437 4370977 6045759 7380393 8732763 9078183 13112931 22141179 26198289 27234549 31981703 39338793 66423537 78594867 95945109 118016379 199270611 248473231 287835327 354049137 745419693 863505981 2236259079 2590517943 3230152003 6708777237 9690456009 20126331711 29071368027 87214104081 261642312243