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21359847168 = 283211312877
BaseRepresentation
bin10011111001001001…
…010110011100000000
32001010121022122212200
4103321021112130000
5322221110102133
613451303353200
71354213463622
oct237111263400
961117278780
1021359847168
119071093360
124181452800
13202533812a
141068b44c12
1585032d913
hex4f9256700

21359847168 has 324 divisors, whose sum is σ = 69500713464. Its totient is φ = 6256742400.

The previous prime is 21359847167. The next prime is 21359847193. The reversal of 21359847168 is 86174895312.

21359847168 is a `hidden beast` number, since 2 + 1 + 3 + 598 + 47 + 1 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21359847167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24355146 + ... + 24356022.

Almost surely, 221359847168 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 21359847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34750356732).

21359847168 is an abundant number, since it is smaller than the sum of its proper divisors (48140866296).

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

21359847168 is a wasteful number, since it uses less digits than its factorization.

21359847168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 924 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 21359847168 in words is "twenty-one billion, three hundred fifty-nine million, eight hundred forty-seven thousand, one hundred sixty-eight".