Search a number
-
+
243989390592 = 2833131269461
BaseRepresentation
bin1110001100111011100…
…1101010010100000000
3212022210001002021002000
43203032321222110000
512444142240444332
6304030455224000
723425166413113
oct3431671522400
9768701067060
10243989390592
1194525717462
123b353678000
131a014a4a08c
14bb4844057a
1565302d7b7c
hex38cee6a500

243989390592 has 144 divisors (see below), whose sum is σ = 727030032960. Its totient is φ = 80708659200.

The previous prime is 243989390573. The next prime is 243989390599. The reversal of 243989390592 is 295093989342.

243989390592 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 8 + 9 + 39 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2439893905922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243989390599) 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 15 ways as a sum of consecutive naturals, for example, 770742 + ... + 1040202.

Almost surely, 2243989390592 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 243989390592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363515016480).

243989390592 is an abundant number, since it is smaller than the sum of its proper divisors (483040642368).

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

243989390592 is a wasteful number, since it uses less digits than its factorization.

243989390592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269617 (or 269597 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 243989390592 in words is "two hundred forty-three billion, nine hundred eighty-nine million, three hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 524 576 768 786 864 1048 1152 1179 1572 1728 2096 2304 2358 3144 3456 3537 4192 4716 6288 6912 7074 8384 9432 12576 14148 16768 18864 25152 28296 33536 37728 50304 56592 75456 100608 113184 150912 226368 269461 301824 452736 538922 808383 905472 1077844 1616766 2155688 2425149 3233532 4311376 4850298 6467064 7275447 8622752 9700596 12934128 14550894 17245504 19401192 25868256 29101788 34491008 35299391 38802384 51736512 58203576 68982016 70598782 77604768 103473024 105898173 116407152 141197564 155209536 206946048 211796346 232814304 282395128 310419072 317694519 423592692 465628608 564790256 620838144 635389038 847185384 931257216 953083557 1129580512 1270778076 1694370768 1862514432 1906167114 2259161024 2541556152 3388741536 3812334228 4518322048 5083112304 6777483072 7624668456 9036644096 10166224608 13554966144 15249336912 20332449216 27109932288 30498673824 40664898432 60997347648 81329796864 121994695296 243989390592