Search a number
-
+
3668796936585 = 3251117127227031
BaseRepresentation
bin110101011000110101010…
…101101001000110001001
3110222201210202200211001200
4311120311111221012021
5440102144003432320
611445231054534413
7526030131264204
oct65306525510611
913881722624050
103668796936585
111194a23252a60
124b3054807409
13207c735aa0c1
14c97dc0a693b
156567927e290
hex35635569189

3668796936585 has 144 divisors (see below), whose sum is σ = 7404009005952. Its totient is φ = 1660930790400.

The previous prime is 3668796936503. The next prime is 3668796936617. The reversal of 3668796936585 is 5856396978663.

3668796936585 is a `hidden beast` number, since 36 + 68 + 7 + 96 + 9 + 365 + 85 = 666.

It is not a de Polignac number, because 3668796936585 - 210 = 3668796935561 is a prime.

It is a super-3 number, since 3×36687969365853 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135712020 + ... + 135739050.

It is an arithmetic number, because the mean of its divisors is an integer number (51416729208).

Almost surely, 23668796936585 is an apocalyptic number.

It is an amenable number.

3668796936585 is an abundant number, since it is smaller than the sum of its proper divisors (3735212069367).

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

3668796936585 is a wasteful number, since it uses less digits than its factorization.

3668796936585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27324 (or 27194 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 3668796936585 in words is "three trillion, six hundred sixty-eight billion, seven hundred ninety-six million, nine hundred thirty-six thousand, five hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 127 153 165 187 255 381 495 561 635 765 935 1143 1397 1683 1905 2159 2805 4191 5715 6477 6985 8415 10795 12573 16129 19431 20955 23749 27031 32385 48387 62865 71247 80645 81093 97155 118745 135155 145161 177419 213741 241935 243279 274193 297341 356235 405465 459527 532257 725805 822579 887095 892023 1068705 1216395 1370965 1378581 1486705 1596771 2297635 2467737 2661285 2676069 3016123 3432937 4112895 4135743 4460115 5054797 6892905 7983855 9048369 10298811 12338685 13380345 15080615 15164391 17164685 20678715 25273985 27145107 30896433 37762307 45241845 45493173 51494055 58359929 75821955 113286921 135725535 154482165 175079787 188811535 227465865 291799645 339860763 435982999 525239361 566434605 641959219 875398935 1307948997 1699303815 1925877657 2179914995 2626196805 3209796095 3923846991 4795812989 5777632971 6539744985 7411710983 9629388285 14387438967 19619234955 22235132949 23979064945 28888164855 37058554915 43162316901 66705398847 71937194835 81528820813 111175664745 215811584505 244586462439 333526994235 407644104065 733759387317 1222932312195 3668796936585