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11809021952 = 21372133173
BaseRepresentation
bin10101111111101111…
…10110000000000000
31010110222202110201102
422333313312000000
5143141102200302
65231444153532
7565432013300
oct127767660000
933428673642
1011809021952
11500a980a82
1223569988a8
131162718b70
14800507600
15491ae9702
hex2bfdf6000

11809021952 has 336 divisors, whose sum is σ = 30958365312. Its totient is φ = 4459069440.

The previous prime is 11809021943. The next prime is 11809021957. The reversal of 11809021952 is 25912090811.

It is a happy number.

11809021952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809021957) 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 23 ways as a sum of consecutive naturals, for example, 161767388 + ... + 161767460.

It is an arithmetic number, because the mean of its divisors is an integer number (92137992).

Almost surely, 211809021952 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 11809021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479182656).

11809021952 is an abundant number, since it is smaller than the sum of its proper divisors (19149343360).

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

11809021952 is an equidigital number, since it uses as much as digits as its factorization.

11809021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 38.

The spelling of 11809021952 in words is "eleven billion, eight hundred nine million, twenty-one thousand, nine hundred fifty-two".