Search a number
-
+
61426212165 = 33519313832017
BaseRepresentation
bin111001001101010010…
…011001110101000101
312212112220020220001000
4321031102121311011
52001300102242130
644115132523513
74303125121443
oct711522316505
9185486226030
1061426212165
112406154a3aa
12baa3620599
135a3c085806
142d8a069b93
1518e7a74260
hexe4d499d45

61426212165 has 128 divisors (see below), whose sum is σ = 119026483200. Its totient is φ = 29941954560.

The previous prime is 61426212161. The next prime is 61426212247. The reversal of 61426212165 is 56121262416.

61426212165 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 621 + 21 + 6 + 5 = 666.

61426212165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61426212165 - 22 = 61426212161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426212161) 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, 30453237 + ... + 30455253.

It is an arithmetic number, because the mean of its divisors is an integer number (929894400).

Almost surely, 261426212165 is an apocalyptic number.

It is an amenable number.

61426212165 is a deficient number, since it is larger than the sum of its proper divisors (57600271035).

61426212165 is a wasteful number, since it uses less digits than its factorization.

61426212165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 61426212165 in words is "sixty-one billion, four hundred twenty-six million, two hundred twelve thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 383 465 513 589 837 855 1149 1395 1767 1915 2017 2565 2945 3447 4185 5301 5745 6051 7277 8835 10085 10341 11873 15903 17235 18153 21831 26505 30255 35619 36385 38323 51705 54459 59365 62527 65493 79515 90765 106857 109155 114969 178095 187581 191615 196479 225587 272295 312635 320571 327465 344907 534285 562743 574845 676761 772511 937905 982395 1034721 1127935 1188013 1602855 1688229 1724535 2030283 2317533 2813715 3383805 3564039 3862555 5173605 5940065 6090849 6952599 8441145 10151415 10692117 11587665 14677709 17820195 20857797 23947841 30454245 32076351 34762995 44033127 53460585 71843523 73388545 104288985 119739205 132099381 160381755 215530569 220165635 359217615 396298143 455008979 646591707 660496905 1077652845 1365026937 1981490715 2275044895 3232958535 4095080811 6825134685 12285242433 20475404055 61426212165