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1643482368 = 283211193413
BaseRepresentation
bin110000111110101…
…1000110100000000
311020112111112222100
41201331120310000
511331212413433
6431025310400
755504240533
oct14175306400
94215445870
101643482368
117737806a0
1239a495400
1320264b698
141183b2a1a
159943cb13
hex61f58d00

1643482368 has 216 divisors, whose sum is σ = 5443008480. Its totient is φ = 471674880.

The previous prime is 1643482363. The next prime is 1643482381. The reversal of 1643482368 is 8632843461.

1643482368 is a `hidden beast` number, since 164 + 3 + 482 + 3 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643482363) 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, 479830 + ... + 483242.

Almost surely, 21643482368 is an apocalyptic number.

1643482368 is a gapful number since it is divisible by the number (18) 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 1643482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721504240).

1643482368 is an abundant number, since it is smaller than the sum of its proper divisors (3799526112).

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

1643482368 is a wasteful number, since it uses less digits than its factorization.

1643482368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3448 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1643482368 is about 40539.8861369886. The cubic root of 1643482368 is about 1180.1078059122.

The spelling of 1643482368 in words is "one billion, six hundred forty-three million, four hundred eighty-two thousand, three hundred sixty-eight".