Search a number
-
+
129181385256 = 23371183842209
BaseRepresentation
bin111100001001111001…
…1111000001000101000
3110100102212120022022020
41320103303320020220
54104030413312011
6135202313224440
712222143441310
oct1702363701050
9410385508266
10129181385256
114a870584820
1221052702120
13c249404c01
146376896440
153561061006
hex1e13cf8228

129181385256 has 128 divisors (see below), whose sum is σ = 407494886400. Its totient is φ = 33149306880.

The previous prime is 129181385251. The next prime is 129181385279. The reversal of 129181385256 is 652583181921.

It is a junction number, because it is equal to n+sod(n) for n = 129181385199 and 129181385208.

It is not an unprimeable number, because it can be changed into a prime (129181385251) 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 31 ways as a sum of consecutive naturals, for example, 267721 + ... + 574488.

It is an arithmetic number, because the mean of its divisors is an integer number (3183553800).

Almost surely, 2129181385256 is an apocalyptic number.

It is an amenable number.

129181385256 is an abundant number, since it is smaller than the sum of its proper divisors (278313501144).

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

129181385256 is a wasteful number, since it uses less digits than its factorization.

129181385256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842319 (or 842315 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 129181385256 in words is "one hundred twenty-nine billion, one hundred eighty-one million, three hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 83 84 88 132 154 166 168 231 249 264 308 332 462 498 581 616 664 913 924 996 1162 1743 1826 1848 1992 2324 2739 3486 3652 4648 5478 6391 6972 7304 10956 12782 13944 19173 21912 25564 38346 51128 76692 153384 842209 1684418 2526627 3368836 5053254 5895463 6737672 9264299 10106508 11790926 17686389 18528598 20213016 23581852 27792897 35372778 37057196 47163704 55585794 64850093 69903347 70745556 74114392 111171588 129700186 139806694 141491112 194550279 209710041 222343176 259400372 279613388 389100558 419420082 489323429 518800744 559226776 768936817 778201116 838840164 978646858 1467970287 1537873634 1556402232 1677680328 1957293716 2306810451 2935940574 3075747268 3914587432 4613620902 5382557719 5871881148 6151494536 9227241804 10765115438 11743762296 16147673157 18454483608 21530230876 32295346314 43060461752 64590692628 129181385256