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243280728768 = 263721117138283
BaseRepresentation
bin1110001010010010101…
…0010101001011000000
3212020221122121111210210
43202210222111023000
512441214331310033
6303432302154120
723401503034500
oct3424452251300
9766848544723
10243280728768
11941a16a1330
123b196282940
1319c30c9725c
14babc28da00
1564dcea3d63
hex38a4a952c0

243280728768 has 336 divisors, whose sum is σ = 864896724864. Its totient is φ = 59472322560.

The previous prime is 243280728721. The next prime is 243280728773. The reversal of 243280728768 is 867827082342.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690155 + ... + 1828437.

Almost surely, 2243280728768 is an apocalyptic number.

243280728768 is a gapful number since it is divisible by the number (28) 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 243280728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432448362432).

243280728768 is an abundant number, since it is smaller than the sum of its proper divisors (621615996096).

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

243280728768 is a wasteful number, since it uses less digits than its factorization.

243280728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138340 (or 138323 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 243280728768 in words is "two hundred forty-three billion, two hundred eighty million, seven hundred twenty-eight thousand, seven hundred sixty-eight".