Search a number
-
+
11000304344512 = 26724554250769
BaseRepresentation
bin1010000000010011010100…
…1110111001110111000000
31102221121201010022222111101
42200010311032321313000
52420212110403011022
635221245310424144
72213513540106160
oct240046516716700
942847633288441
1011000304344512
1135612260304aa
121297b23802054
1361a42a4b3472
142a05bbb5a5a0
15141223275627
hexa01353b9dc0

11000304344512 has 28 divisors (see below), whose sum is σ = 24947118782320. Its totient is φ = 4714416147456.

The previous prime is 11000304344509. The next prime is 11000304344573. The reversal of 11000304344512 is 21544340300011.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×110003043445123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12277124937 + ... + 12277125832.

It is an arithmetic number, because the mean of its divisors is an integer number (890968527940).

Almost surely, 211000304344512 is an apocalyptic number.

It is an amenable number.

11000304344512 is an abundant number, since it is smaller than the sum of its proper divisors (13946814437808).

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

11000304344512 is an equidigital number, since it uses as much as digits as its factorization.

11000304344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24554250788 (or 24554250778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 11000304344512 its reverse (21544340300011), we get a palindrome (32544644644523).

The spelling of 11000304344512 in words is "eleven trillion, three hundred four million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 24554250769 49108501538 98217003076 171879755383 196434006152 343759510766 392868012304 687519021532 785736024608 1375038043064 1571472049216 2750076086128 5500152172256 11000304344512