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21047483808 = 25321353731453
BaseRepresentation
bin10011100110100001…
…110001110110100000
32000022211112221220100
4103212201301312200
5321101123440213
613400304342400
71343401442361
oct234641616640
960284487810
1021047483808
118a2083511a
1240b4914a00
131ca56cbb40
141039473b68
15832bcb773
hex4e6871da0

21047483808 has 288 divisors, whose sum is σ = 66619569744. Its totient is φ = 6262603776.

The previous prime is 21047483803. The next prime is 21047483851. The reversal of 21047483808 is 80838474012.

21047483808 is a `hidden beast` number, since 21 + 0 + 474 + 83 + 80 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15879024144 + 5168459664 = 126012^2 + 71892^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (21047483801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14484810 + ... + 14486262.

Almost surely, 221047483808 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 21047483808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33309784872).

21047483808 is an abundant number, since it is smaller than the sum of its proper divisors (45572085936).

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

21047483808 is a wasteful number, since it uses less digits than its factorization.

21047483808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 21047483808 in words is "twenty-one billion, forty-seven million, four hundred eighty-three thousand, eight hundred eight".