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8427450816 = 26336783877
BaseRepresentation
bin1111101100101000…
…01011000111000000
3210202022201212012000
413312110023013000
5114224411411231
63512125304000
7415561102311
oct76624130700
923668655160
108427450816
113635092594
121772405000
13a43c762b5
1459d376608
15344cd26e6
hex1f650b1c0

8427450816 has 224 divisors, whose sum is σ = 25476890880. Its totient is φ = 2730765312.

The previous prime is 8427450809. The next prime is 8427450827. The reversal of 8427450816 is 6180547248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9608970 + ... + 9609846.

It is an arithmetic number, because the mean of its divisors is an integer number (113736120).

Almost surely, 28427450816 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 8427450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738445440).

8427450816 is an abundant number, since it is smaller than the sum of its proper divisors (17049440064).

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

8427450816 is a wasteful number, since it uses less digits than its factorization.

8427450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8427450816 is about 91801.1482281131. The cubic root of 8427450816 is about 2035.0046637462.

The spelling of 8427450816 in words is "eight billion, four hundred twenty-seven million, four hundred fifty thousand, eight hundred sixteen".