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8003199168 = 26352272267
BaseRepresentation
bin1110111010000011…
…10010000011000000
3202122202102122100000
413131001302003000
5112342304333133
63402052200000
7402220033116
oct73501620300
922582378300
108003199168
113437662a98
121674309000
139a70c3313
1455cc9bab6
1531c92d413
hex1dd0720c0

8003199168 has 168 divisors, whose sum is σ = 23904683712. Its totient is φ = 2654809344.

The previous prime is 8003199161. The next prime is 8003199179. The reversal of 8003199168 is 8619913008.

It is not an unprimeable number, because it can be changed into a prime (8003199161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3529171 + ... + 3531437.

It is an arithmetic number, because the mean of its divisors is an integer number (142289784).

Almost surely, 28003199168 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 8003199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952341856).

8003199168 is an abundant number, since it is smaller than the sum of its proper divisors (15901484544).

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

8003199168 is a wasteful number, since it uses less digits than its factorization.

8003199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8003199168 is about 89460.6012052233. The cubic root of 8003199168 is about 2000.2665618042.

The spelling of 8003199168 in words is "eight billion, three million, one hundred ninety-nine thousand, one hundred sixty-eight".