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27784138230 = 23252313422289
BaseRepresentation
bin11001111000000100…
…000100110111110110
32122201022202110110200
4121320010010313312
5423400214410410
620432554301330
72002342164312
oct317004046766
978638673420
1027784138230
1110868470312
125474a27846
13280a29baa4
1414b803cb42
15ac93273c0
hex678104df6

27784138230 has 48 divisors (see below), whose sum is σ = 75379580640. Its totient is φ = 7086968064.

The previous prime is 27784138229. The next prime is 27784138237. The reversal of 27784138230 is 3283148772.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27784138237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6709075 + ... + 6713214.

It is an arithmetic number, because the mean of its divisors is an integer number (1570407930).

Almost surely, 227784138230 is an apocalyptic number.

27784138230 is an abundant number, since it is smaller than the sum of its proper divisors (47595442410).

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

27784138230 is a wasteful number, since it uses less digits than its factorization.

27784138230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422325 (or 13422322 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27784138230 in words is "twenty-seven billion, seven hundred eighty-four million, one hundred thirty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 13422289 26844578 40266867 67111445 80533734 120800601 134222890 201334335 241601202 308712647 402668670 604003005 617425294 926137941 1208006010 1543563235 1852275882 2778413823 3087126470 4630689705 5556827646 9261379410 13892069115 27784138230