Search a number
-
+
6444430358958 = 2322691330943899
BaseRepresentation
bin101110111000111010111…
…1110110111100110101110
3211211002012102200000100100
41131301311332313212232
51321041143132441313
621412310324011530
71233410664143334
oct135616576674656
924732172600310
106444430358958
112065081a28079
12880b82830ba6
13379926882b67
14183caaadbb54
15b297b29c173
hex5dc75fb79ae

6444430358958 has 24 divisors (see below), whose sum is σ = 14014839267000. Its totient is φ = 2140157787984.

The previous prime is 6444430358929. The next prime is 6444430358983. The reversal of 6444430358958 is 8598530344446.

6444430358958 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 43 + 0 + 3 + 589 + 5 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6444430358895 and 6444430358904.

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 11 ways as a sum of consecutive naturals, for example, 665467108 + ... + 665476791.

It is an arithmetic number, because the mean of its divisors is an integer number (583951636125).

Almost surely, 26444430358958 is an apocalyptic number.

6444430358958 is an abundant number, since it is smaller than the sum of its proper divisors (7570408908042).

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

6444430358958 is a wasteful number, since it uses less digits than its factorization.

6444430358958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330944176 (or 1330944173 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 6444430358958 in words is "six trillion, four hundred forty-four billion, four hundred thirty million, three hundred fifty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 4842 1330943899 2661887798 3992831697 7985663394 11978495091 23956990182 358023908831 716047817662 1074071726493 2148143452986 3222215179479 6444430358958