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286280080704 = 263541943933
BaseRepresentation
bin1000010101001111001…
…11110101110101000000
31000100221100110220200000
410022213213311311000
514142300200040304
6335303143400000
726453200351542
oct4124747656500
91010840426600
10286280080704
11100457707922
1247596753000
1320cc4565077
14dbdad35692
1576a7e52939
hex42a79f5d40

286280080704 has 168 divisors, whose sum is σ = 853011999840. Its totient is φ = 95196777984.

The previous prime is 286280080687. The next prime is 286280080729. The reversal of 286280080704 is 407080082682.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 286280080704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6494322 + ... + 6538254.

It is an arithmetic number, because the mean of its divisors is an integer number (5077452380).

Almost surely, 2286280080704 is an apocalyptic number.

286280080704 is a gapful number since it is divisible by the number (24) 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 286280080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426505999920).

286280080704 is an abundant number, since it is smaller than the sum of its proper divisors (566731919136).

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

286280080704 is an equidigital number, since it uses as much as digits as its factorization.

286280080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44379 (or 44357 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 286280080704 in words is "two hundred eighty-six billion, two hundred eighty million, eighty thousand, seven hundred four".