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51840064341 = 33131997127631
BaseRepresentation
bin110000010001111010…
…001001101101010101
311221210211020010101000
4300101322021231111
51322132024024331
635452012253513
73513434163552
oct602172115525
9157724203330
1051840064341
111aa9240168a
12a069171299
134b720499b0
14271ac75a29
1515361b40e6
hexc11e89b55

51840064341 has 128 divisors (see below), whose sum is σ = 88791449600. Its totient is φ = 29628426240.

The previous prime is 51840064327. The next prime is 51840064351. The reversal of 51840064341 is 14346004815.

51840064341 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 0 + 0 + 643 + 4 + 1 = 666.

It is not a de Polignac number, because 51840064341 - 233 = 43250129749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51840064296 and 51840064305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51840064351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82155096 + ... + 82155726.

It is an arithmetic number, because the mean of its divisors is an integer number (693683200).

Almost surely, 251840064341 is an apocalyptic number.

It is an amenable number.

51840064341 is a deficient number, since it is larger than the sum of its proper divisors (36951385259).

51840064341 is a wasteful number, since it uses less digits than its factorization.

51840064341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51840064341 in words is "fifty-one billion, eight hundred forty million, sixty-four thousand, three hundred forty-one".

Divisors: 1 3 9 13 19 27 39 57 97 117 127 171 247 291 351 381 513 631 741 873 1143 1261 1651 1843 1893 2223 2413 2619 3429 3783 4953 5529 5679 6669 7239 8203 11349 11989 12319 14859 16587 17037 21717 23959 24609 31369 34047 35967 36957 44577 49761 61207 65151 71877 73827 80137 94107 107901 110871 155857 160147 183621 215631 221481 234061 240411 282321 323703 332613 467571 480441 550863 646893 702183 721233 795691 846963 1041781 1162933 1402713 1441323 1522603 1652589 2106549 2163699 2387073 3042793 3125343 3488799 4208139 4323969 4567809 6319647 7161219 7773289 9128379 9376029 10466397 13703427 15118129 19793839 21483657 23319867 27385137 28128087 31399191 41110281 45354387 59381517 69959601 82155411 101052757 136063161 147692491 178144551 209878803 303158271 408189483 443077473 534433653 909474813 1329232419 1920002383 2728424439 3987697257 5760007149 17280021447 51840064341