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6243130349568 = 21134719253281
BaseRepresentation
bin101101011011001011110…
…0100010001100000000000
3211002211121111012000020000
41122312113210101200000
51304241412332141233
621140015434120000
71213023406246440
oct132662744214000
924084544160200
106243130349568
111a97773362652
12849b63880000
13363956124678
141782520d6120
15ac5e8b34d13
hex5ad97911800

6243130349568 has 1440 divisors, whose sum is σ = 22998372677280. Its totient is φ = 1652085227520.

The previous prime is 6243130349557. The next prime is 6243130349593. The reversal of 6243130349568 is 8659430313426.

6243130349568 is a `hidden beast` number, since 6 + 2 + 4 + 3 + 1 + 30 + 3 + 49 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22217545588 + ... + 22217545868.

It is an arithmetic number, because the mean of its divisors is an integer number (15971092137).

Almost surely, 26243130349568 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 6243130349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499186338640).

6243130349568 is an abundant number, since it is smaller than the sum of its proper divisors (16755242327712).

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

6243130349568 is a wasteful number, since it uses less digits than its factorization.

6243130349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6243130349568 in words is "six trillion, two hundred forty-three billion, one hundred thirty million, three hundred forty-nine thousand, five hundred sixty-eight".