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212763440000 = 27545945077
BaseRepresentation
bin1100011000100110110…
…0000111001110000000
3202100011211221121122102
43012021230013032000
511441214420040000
6241424150525532
721241322254226
oct3061154071600
9670154847572
10212763440000
1182261462621
123529a0668a8
13170a96a5a37
14a42526cb16
155803c493d5
hex3189b07380

212763440000 has 160 divisors (see below), whose sum is σ = 538650545400. Its totient is φ = 83661056000.

The previous prime is 212763439951. The next prime is 212763440003. The reversal of 212763440000 is 44367212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212763440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4697462 + ... + 4742538.

Almost surely, 2212763440000 is an apocalyptic number.

212763440000 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 212763440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269325272700).

212763440000 is an abundant number, since it is smaller than the sum of its proper divisors (325887105400).

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

212763440000 is an frugal number, since it uses more digits than its factorization.

212763440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45170 (or 45143 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 212763440000 in words is "two hundred twelve billion, seven hundred sixty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 295 320 400 472 500 590 625 640 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3200 3776 4000 4720 5000 5900 7375 7552 8000 9440 10000 11800 14750 16000 18880 20000 23600 29500 36875 37760 40000 45077 47200 59000 73750 80000 90154 94400 118000 147500 180308 188800 225385 236000 295000 360616 450770 472000 590000 721232 901540 944000 1126925 1180000 1442464 1803080 2253850 2360000 2659543 2884928 3606160 4507700 4720000 5319086 5634625 5769856 7212320 9015400 10638172 11269250 13297715 14424640 18030800 21276344 22538500 26595430 28173125 28849280 36061600 42552688 45077000 53190860 56346250 66488575 72123200 85105376 90154000 106381720 112692500 132977150 144246400 170210752 180308000 212763440 225385000 265954300 332442875 340421504 360616000 425526880 450770000 531908600 664885750 721232000 851053760 901540000 1063817200 1329771500 1662214375 1702107520 1803080000 2127634400 2659543000 3324428750 3606160000 4255268800 5319086000 6648857500 8510537600 10638172000 13297715000 21276344000 26595430000 42552688000 53190860000 106381720000 212763440000