Search a number
-
+
135333041066366 = 2112131129227316763
BaseRepresentation
bin11110110001010110101101…
…110101101101000101111110
3122202011201020022122112002212
4132301112231311231011332
5120214244032003110431
61155455050224220422
740335326626626653
oct3661265565550576
9582151208575085
10135333041066366
113a137469614200
121321854976a712
135a68b0a8a26a0
14255c222d47c2a
15109a4ca05972b
hex7b15add6d17e

135333041066366 has 96 divisors (see below), whose sum is σ = 240628734672480. Its totient is φ = 56704456765440.

The previous prime is 135333041066339. The next prime is 135333041066383. The reversal of 135333041066366 is 663660140333531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8073310301 + ... + 8073327063.

It is an arithmetic number, because the mean of its divisors is an integer number (2506549319505).

Almost surely, 2135333041066366 is an apocalyptic number.

135333041066366 is a deficient number, since it is larger than the sum of its proper divisors (105295693606114).

135333041066366 is a wasteful number, since it uses less digits than its factorization.

135333041066366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202 (or 20191 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 50.

Adding to 135333041066366 its reverse (663660140333531), we get a palindrome (798993181399897).

The spelling of 135333041066366 in words is "one hundred thirty-five trillion, three hundred thirty-three billion, forty-one million, sixty-six thousand, three hundred sixty-six".

Divisors: 1 2 11 13 22 26 121 143 242 286 1129 1573 2258 2273 3146 4546 12419 14677 16763 24838 25003 29354 29549 33526 50006 59098 136609 161447 184393 217919 273218 275033 322894 325039 368786 435838 550066 650078 1775917 2028323 2397109 2566217 3551834 3575429 4056646 4794218 5132434 7150858 18925427 26368199 28228387 33360821 37850854 38102299 52736398 56456774 66721642 76204598 208179697 246030551 310512257 366969031 416359394 419125289 492061102 495329887 621024514 733938062 838250578 990659774 2289976667 2706336061 4036659341 4579953334 4610378179 5412672122 5448628757 8073318682 9220756358 10897257514 29769696671 43017495571 59539393342 59934916327 86034991142 119869832654 473192451281 559227442423 946384902562 1118454884846 5205116964091 6151501866653 10410233928182 12303003733306 67666520533183 135333041066366