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11503450368 = 283223375867
BaseRepresentation
bin10101011011010100…
…01011100100000000
31002200200202211022100
422231222023210000
5142024340402433
65141250510400
7555031500114
oct125552134400
932620684270
1011503450368
114973441583
122290595400
13111431a087
147b1ac3744
15474d89b13
hex2ada8b900

11503450368 has 216 divisors, whose sum is σ = 35550785088. Its totient is φ = 3568029696.

The previous prime is 11503450351. The next prime is 11503450369. The reversal of 11503450368 is 86305430511.

11503450368 is a `hidden beast` number, since 11 + 50 + 34 + 503 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11503450369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957771 + ... + 1963637.

It is an arithmetic number, because the mean of its divisors is an integer number (164586968).

Almost surely, 211503450368 is an apocalyptic number.

11503450368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11503450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775392544).

11503450368 is an abundant number, since it is smaller than the sum of its proper divisors (24047334720).

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

11503450368 is a wasteful number, since it uses less digits than its factorization.

11503450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11503450368 its reverse (86305430511), we get a palindrome (97808880879).

The spelling of 11503450368 in words is "eleven billion, five hundred three million, four hundred fifty thousand, three hundred sixty-eight".