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14924871808 = 2771122947101
BaseRepresentation
bin11011110011001011…
…10111100010000000
31102112010210001011221
431321211313202000
5221031231344213
610504551444424
71035565213540
oct157145674200
942463701157
1014924871808
116369779100
122a86386714
13153b1032c2
14a18269320
155c542438d
hex379977880

14924871808 has 384 divisors, whose sum is σ = 39851481600. Its totient is φ = 5440512000.

The previous prime is 14924871803. The next prime is 14924871847. The reversal of 14924871808 is 80817842941.

14924871808 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 (14924871803) 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 47 ways as a sum of consecutive naturals, for example, 147770958 + ... + 147771058.

It is an arithmetic number, because the mean of its divisors is an integer number (103779900).

Almost surely, 214924871808 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 14924871808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925740800).

14924871808 is an abundant number, since it is smaller than the sum of its proper divisors (24926609792).

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

14924871808 is a wasteful number, since it uses less digits than its factorization.

14924871808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 14924871808 in words is "fourteen billion, nine hundred twenty-four million, eight hundred seventy-one thousand, eight hundred eight".