Search a number
-
+
6861864814155 = 3351317911252463
BaseRepresentation
bin110001111011010011100…
…0000111100011001001011
3220021222200011020110202000
41203312213000330121023
51344411044343023110
622332144105042043
71305516256362651
oct143664700743113
926258604213660
106861864814155
11220611188772a
12929a60786323
133aa0c01ca980
1419a18a552dd1
15bd75d58a1c0
hex63da703c64b

6861864814155 has 128 divisors (see below), whose sum is σ = 13925348720640. Its totient is φ = 3175931566080.

The previous prime is 6861864814093. The next prime is 6861864814177. The reversal of 6861864814155 is 5514184681686.

6861864814155 is a `hidden beast` number, since 6 + 8 + 61 + 8 + 6 + 481 + 41 + 55 = 666.

It is not a de Polignac number, because 6861864814155 - 216 = 6861864748619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6861864814092 and 6861864814101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27053454 + ... + 27305916.

It is an arithmetic number, because the mean of its divisors is an integer number (108791786880).

Almost surely, 26861864814155 is an apocalyptic number.

6861864814155 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6861864814155 is an abundant number, since it is smaller than the sum of its proper divisors (7063483906485).

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

6861864814155 is a wasteful number, since it uses less digits than its factorization.

6861864814155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253418 (or 253412 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 6861864814155 in words is "six trillion, eight hundred sixty-one billion, eight hundred sixty-four million, eight hundred fourteen thousand, one hundred fifty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 911 1105 1755 1989 2295 2733 3315 4555 5967 8199 9945 11843 13665 15487 24597 29835 35529 40995 46461 59215 77435 106587 122985 139383 177645 201331 232305 252463 319761 418149 532935 603993 696915 757389 1006655 1262315 1598805 1811979 2090745 2272167 3019965 3282019 3786945 4291871 5435937 6816501 9059895 9846057 11360835 12875613 16410095 21459355 27179685 29538171 34082505 38626839 49230285 55794323 64378065 88614513 115880517 147690855 167382969 193134195 229993793 278971615 443072565 502148907 579402585 689981379 836914845 1149968965 1506446721 2069944137 2510744535 2989919309 3449906895 3909894481 6209832411 7532233605 8969757927 10349720685 11729683443 14949596545 19549472405 26909273781 31049162055 35189050329 44848789635 50828628253 58648417215 80727821343 105567150987 134546368905 152485884759 175945251645 254143141265 403639106715 457457654277 527835754935 762429423795 1372372962831 2287288271385 6861864814155