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21241539072 = 293213615813
BaseRepresentation
bin10011110010000110…
…000010101000000000
32000211100200222200100
4103302012002220000
5322000313222242
613431435522400
71351246050225
oct236206025000
960740628610
1021241539072
119010327776
1241498b9400
132006984340
14105714994c
15844c5e54c
hex4f2182a00

21241539072 has 240 divisors, whose sum is σ = 67114095048. Its totient is φ = 6427607040.

The previous prime is 21241539023. The next prime is 21241539091. The reversal of 21241539072 is 27093514212.

21241539072 is a `hidden beast` number, since 2 + 12 + 41 + 539 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10521835776 + 10719703296 = 102576^2 + 103536^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651238 + ... + 3657050.

Almost surely, 221241539072 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 21241539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33557047524).

21241539072 is an abundant number, since it is smaller than the sum of its proper divisors (45872555976).

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

21241539072 is a wasteful number, since it uses less digits than its factorization.

21241539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21241539072 in words is "twenty-one billion, two hundred forty-one million, five hundred thirty-nine thousand, seventy-two".