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21383068896 = 25327314373109
BaseRepresentation
bin10011111010100001…
…111011110011100000
32001012020000110002200
4103322201323303200
5322243031201041
613453453213200
71354615041510
oct237241736340
961166013080
1021383068896
119083204172
124189191200
13202a0a8ab7
14106bc6b840
158523b91b6
hex4fa87bce0

21383068896 has 576 divisors, whose sum is σ = 75093258240. Its totient is φ = 5643509760.

The previous prime is 21383068871. The next prime is 21383068921. The reversal of 21383068896 is 69886038312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21383068871) and next prime (21383068921).

It is a super-2 number, since 2×213830688962 (a number of 21 digits) contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196174890 + ... + 196174998.

It is an arithmetic number, because the mean of its divisors is an integer number (130370240).

Almost surely, 221383068896 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 21383068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37546629120).

21383068896 is an abundant number, since it is smaller than the sum of its proper divisors (53710189344).

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

21383068896 is a wasteful number, since it uses less digits than its factorization.

21383068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 21383068896 in words is "twenty-one billion, three hundred eighty-three million, sixty-eight thousand, eight hundred ninety-six".