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8819048448 = 21933789
BaseRepresentation
bin10000011011010100…
…00000000000000000
3211202121121002011000
420031222000000000
5121030134022243
64015034452000
7431354450340
oct101552000000
924677532130
108819048448
1138161396a1
121861594000
13aa7135282
145d9390d20
153693865d3
hex20da80000

8819048448 has 320 divisors, whose sum is σ = 30198960000. Its totient is φ = 2491416576.

The previous prime is 8819048437. The next prime is 8819048449. The reversal of 8819048448 is 8448409188.

It is a happy number.

8819048448 is a `hidden beast` number, since 8 + 8 + 190 + 4 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8819048394 and 8819048403.

It is not an unprimeable number, because it can be changed into a prime (8819048449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99090388 + ... + 99090476.

It is an arithmetic number, because the mean of its divisors is an integer number (94371750).

Almost surely, 28819048448 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 8819048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099480000).

8819048448 is an abundant number, since it is smaller than the sum of its proper divisors (21379911552).

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

8819048448 is an frugal number, since it uses more digits than its factorization.

8819048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 8819048448 is about 93909.7888827358. The cubic root of 8819048448 is about 2066.0488038984.

The spelling of 8819048448 in words is "eight billion, eight hundred nineteen million, forty-eight thousand, four hundred forty-eight".