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8673199920 = 24325721122349
BaseRepresentation
bin10000001001111011…
…01000011100110000
3211101110011012120200
420010331220130300
5120230314344140
63552344435200
7424633661100
oct100475503460
924343135520
108673199920
113750882520
121820778b00
13a82b5ab78
145c3c67200
1535b677030
hex204f68730

8673199920 has 360 divisors, whose sum is σ = 36964933200. Its totient is φ = 1802142720.

The previous prime is 8673199891. The next prime is 8673199921. The reversal of 8673199920 is 299913768.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (8673199921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376906 + ... + 399254.

It is an arithmetic number, because the mean of its divisors is an integer number (102680370).

Almost surely, 28673199920 is an apocalyptic number.

8673199920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482466600).

8673199920 is an abundant number, since it is smaller than the sum of its proper divisors (28291733280).

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

8673199920 is a wasteful number, since it uses less digits than its factorization.

8673199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22393 (or 22377 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 8673199920 is about 93130.0162138931. The cubic root of 8673199920 is about 2054.5960667351.

The spelling of 8673199920 in words is "eight billion, six hundred seventy-three million, one hundred ninety-nine thousand, nine hundred twenty".