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663511340234240 = 2951016991367069
BaseRepresentation
bin1001011011011101011100010…
…1101111010011011000000000
310020000022001202010102021020122
42112313113011233103120000
51143431432211044443430
610311100522434155412
7256521053360026631
oct22667270557233000
93200261663367218
10663511340234240
11182462640948033
1262500b39422b68
132262cb0a5a7544
14b9bc197c39888
1551a96bc991ee5
hex25b75c5bd3600

663511340234240 has 160 divisors (see below), whose sum is σ = 1606857511501440. Its totient is φ = 262738464768000.

The previous prime is 663511340234207. The next prime is 663511340234359. The reversal of 663511340234240 is 42432043115366.

663511340234240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 663511340234191 and 663511340234200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807409426 + ... + 1807776494.

It is an arithmetic number, because the mean of its divisors is an integer number (10042859446884).

Almost surely, 2663511340234240 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 663511340234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803428755750720).

663511340234240 is an abundant number, since it is smaller than the sum of its proper divisors (943346171267200).

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

663511340234240 is a wasteful number, since it uses less digits than its factorization.

663511340234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374184 (or 374168 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 663511340234240 in words is "six hundred sixty-three trillion, five hundred eleven billion, three hundred forty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1280 1616 2020 2560 3232 4040 6464 6991 8080 12928 13982 16160 25856 27964 32320 34955 51712 55928 64640 69910 111856 129280 139820 223712 258560 279640 367069 447424 559280 706091 734138 894848 1118560 1412182 1468276 1789696 1835345 2237120 2824364 2936552 3530455 3579392 3670690 4474240 5648728 5873104 7060910 7341380 8948480 11297456 11746208 14121820 14682760 17896960 22594912 23492416 28243640 29365520 37073969 45189824 46984832 56487280 58731040 74147938 90379648 93969664 112974560 117462080 148295876 180759296 185369845 187939328 225949120 234924160 296591752 361518592 370739690 451898240 469848320 593183504 741479380 903796480 939696640 1186367008 1482958760 1807592960 2372734016 2566179379 2965917520 4745468032 5132358758 5931835040 9490936064 10264717516 11863670080 12830896895 18981872128 20529435032 23727340160 25661793790 41058870064 47454680320 51323587580 82117740128 94909360640 102647175160 164235480256 205294350320 259184117279 328470960512 410588700640 518368234558 656941921024 821177401280 1036736469116 1295920586395 1313883842048 1642354802560 2073472938232 2591841172790 3284709605120 4146945876464 5183682345580 6569419210240 8293891752928 10367364691160 16587783505856 20734729382320 33175567011712 41469458764640 66351134023424 82938917529280 132702268046848 165877835058560 331755670117120 663511340234240