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11244055153 = 176116216689
BaseRepresentation
bin10100111100011001…
…01010101001110001
31002000121200011222011
422132030222221301
5141011434231103
65055423042521
7545431614622
oct123614525161
932017604864
1011244055153
11484aa81071
122219740441
1310a2668196
1478947da49
1545c1ebd6d
hex29e32aa71

11244055153 has 16 divisors (see below), whose sum is σ = 12109916880. Its totient is φ = 10401177600.

The previous prime is 11244055139. The next prime is 11244055159. The reversal of 11244055153 is 35155044211.

11244055153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 324432144 + 10919623009 = 18012^2 + 104497^2 .

It is a cyclic number.

It is not a de Polignac number, because 11244055153 - 233 = 2654120561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11244055159) 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, 1677633 + ... + 1684321.

It is an arithmetic number, because the mean of its divisors is an integer number (756869805).

Almost surely, 211244055153 is an apocalyptic number.

It is an amenable number.

11244055153 is a deficient number, since it is larger than the sum of its proper divisors (865861727).

11244055153 is a wasteful number, since it uses less digits than its factorization.

11244055153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 11244055153 its reverse (35155044211), we get a palindrome (46399099364).

The spelling of 11244055153 in words is "eleven billion, two hundred forty-four million, fifty-five thousand, one hundred fifty-three".

Divisors: 1 17 61 1037 1621 6689 27557 98881 113713 408029 1680977 6936493 10842869 184328773 661415009 11244055153