Search a number
-
+
11276408493675 = 355213191747563
BaseRepresentation
bin1010010000010111111001…
…0100101001011001101011
31110221000101022000000100000
42210011332110221121223
52434223041033244200
635552151024514043
72242456625464113
oct244057624513153
943830338000300
1011276408493675
11365833068a346
12132153a47b923
1363a48c77cc60
142adad1414043
151484d2b67300
hexa417e52966b

11276408493675 has 144 divisors (see below), whose sum is σ = 22674656729088. Its totient is φ = 5522390006400.

The previous prime is 11276408493673. The next prime is 11276408493683. The reversal of 11276408493675 is 57639480467211.

11276408493675 is a `hidden beast` number, since 1 + 1 + 2 + 76 + 4 + 0 + 8 + 493 + 6 + 75 = 666.

11276408493675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11276408493675 - 21 = 11276408493673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11276408493671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14710444 + ... + 15458006.

It is an arithmetic number, because the mean of its divisors is an integer number (157462893952).

It is a 1-persistent number, because it is pandigital, but 2⋅11276408493675 = 22552816987350 is not.

Almost surely, 211276408493675 is an apocalyptic number.

11276408493675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11276408493675 is an abundant number, since it is smaller than the sum of its proper divisors (11398248235413).

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

11276408493675 is a wasteful number, since it uses less digits than its factorization.

11276408493675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747792 (or 747775 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 11276408493675 in words is "eleven trillion, two hundred seventy-six billion, four hundred eight million, four hundred ninety-three thousand, six hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 191 195 225 243 325 351 405 573 585 675 955 975 1053 1215 1719 1755 2025 2483 2865 2925 3159 4775 5157 5265 6075 7449 8595 8775 12415 14325 15471 15795 22347 25785 26325 37245 42975 46413 62075 67041 77355 78975 111735 128925 186225 201123 232065 335205 386775 558675 603369 747563 1005615 1160325 1676025 2242689 3016845 3737815 5028075 6728067 9718319 11213445 15084225 18689075 20184201 29154957 33640335 48591595 56067225 60552603 87464871 100921005 142784533 145774785 168201675 181657809 242957975 262394613 302763015 428353599 437324355 504605025 713922665 728873925 787183839 908289045 1285060797 1311973065 1513815075 1856198929 2141767995 2186621775 2361551517 3569613325 3855182391 3935919195 4541445225 5568596787 6425303985 6559865325 9280994645 10708839975 11565547173 11807757585 16705790361 19275911955 19679595975 27842983935 32126519925 34696641519 46404973225 50117371083 57827735865 59038787925 83528951805 96379559775 139214919675 150352113249 173483207595 250586855415 289138679325 417644759025 451056339747 751760566245 867416037975 1252934277075 2255281698735 3758802831225 11276408493675