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259328666880 = 28355833747
BaseRepresentation
bin1111000110000100110…
…0010110110100000000
3220210101001122020100000
43301201030112310000
513222101114320010
6315044533200000
724510256204203
oct3614114266400
9823331566300
10259328666880
119aa872a97a8
1242314790000
131b5ba96621a
14c7a173d93a
156b2bcb87c0
hex3c61316d00

259328666880 has 216 divisors, whose sum is σ = 930482777952. Its totient is φ = 69154228224.

The previous prime is 259328666873. The next prime is 259328666921. The reversal of 259328666880 is 88666823952.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105834 + ... + 727913.

Almost surely, 2259328666880 is an apocalyptic number.

259328666880 is a gapful number since it is divisible by the number (20) 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 259328666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465241388976).

259328666880 is an abundant number, since it is smaller than the sum of its proper divisors (671154111072).

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

259328666880 is an frugal number, since it uses more digits than its factorization.

259328666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833783 (or 833757 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 259328666880 in words is "two hundred fifty-nine billion, three hundred twenty-eight million, six hundred sixty-six thousand, eight hundred eighty".