Search a number
-
+
5413846766832 = 243376912590873
BaseRepresentation
bin100111011001000001001…
…1010011101010011110000
3201011120002021211010121000
41032302002122131103300
51202200024233014312
615303030433002000
71066065112144560
oct116620232352360
921146067733530
105413846766832
1117a7aaa3a7809
127352a63b3300
133036a634ca5a
1414a062934da0
1595c5ea80adc
hex4ec8269d4f0

5413846766832 has 160 divisors (see below), whose sum is σ = 17785417295360. Its totient is φ = 1544574251520.

The previous prime is 5413846766803. The next prime is 5413846766833. The reversal of 5413846766832 is 2386676483145.

It is a happy number.

5413846766832 is a `hidden beast` number, since 5 + 4 + 1 + 38 + 467 + 66 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5413846766832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413846766833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794148 + ... + 3385020.

It is an arithmetic number, because the mean of its divisors is an integer number (111158858096).

Almost surely, 25413846766832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413846766832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892708647680).

5413846766832 is an abundant number, since it is smaller than the sum of its proper divisors (12371570528528).

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

5413846766832 is a wasteful number, since it uses less digits than its factorization.

5413846766832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591588 (or 2591576 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 5413846766832 in words is "five trillion, four hundred thirteen billion, eight hundred forty-six million, seven hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 691 756 1008 1382 1512 2073 2764 3024 4146 4837 5528 6219 8292 9674 11056 12438 14511 16584 18657 19348 24876 29022 33168 37314 38696 43533 49752 58044 74628 77392 87066 99504 116088 130599 149256 174132 232176 261198 298512 348264 522396 696528 1044792 2089584 2590873 5181746 7772619 10363492 15545238 18136111 20726984 23317857 31090476 36272222 41453968 46635714 54408333 62180952 69953571 72544444 93271428 108816666 124361904 139907142 145088888 163224999 186542856 217633332 279814284 290177776 326449998 373085712 435266664 489674997 559628568 652899996 870533328 979349994 1119257136 1305799992 1790293243 1958699988 2611599984 3580586486 3917399976 5370879729 7161172972 7834799952 10741759458 12532052701 14322345944 16112639187 21483518916 25064105402 28644691888 32225278374 37596158103 42967037832 48337917561 50128210804 64450556748 75192316206 85934075664 96675835122 100256421608 112788474309 128901113496 150384632412 193351670244 200512843216 225576948618 257802226992 300769264824 338365422927 386703340488 451153897236 601538529648 676730845854 773406680976 902307794472 1353461691708 1804615588944 2706923383416 5413846766832