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27348903900 = 223252127239273
BaseRepresentation
bin11001011110000111…
…110010011111011100
32121120222210021012200
4121132013302133130
5422002304411100
620321445531500
71655505563463
oct313607623734
977528707180
1027348903900
111066481a31a
125373113b90
13276b071b96
1414763059da
15aa1003e00
hex65e1f27dc

27348903900 has 108 divisors (see below), whose sum is σ = 86398970112. Its totient is φ = 7235585280.

The previous prime is 27348903823. The next prime is 27348903949. The reversal of 27348903900 is 930984372.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5337 + ... + 233936.

It is an arithmetic number, because the mean of its divisors is an integer number (799990464).

Almost surely, 227348903900 is an apocalyptic number.

27348903900 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 27348903900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43199485056).

27348903900 is an abundant number, since it is smaller than the sum of its proper divisors (59050066212).

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

27348903900 is a wasteful number, since it uses less digits than its factorization.

27348903900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239420 (or 239410 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 27348903900 in words is "twenty-seven billion, three hundred forty-eight million, nine hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 254 300 381 450 508 635 762 900 1143 1270 1524 1905 2286 2540 3175 3810 4572 5715 6350 7620 9525 11430 12700 19050 22860 28575 38100 57150 114300 239273 478546 717819 957092 1196365 1435638 2153457 2392730 2871276 3589095 4306914 4785460 5981825 7178190 8613828 10767285 11963650 14356380 17945475 21534570 23927300 30387671 35890950 43069140 53836425 60775342 71781900 91163013 107672850 121550684 151938355 182326026 215345700 273489039 303876710 364652052 455815065 546978078 607753420 759691775 911630130 1093956156 1367445195 1519383550 1823260260 2279075325 2734890390 3038767100 4558150650 5469780780 6837225975 9116301300 13674451950 27348903900