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67282110216 = 23382515107
BaseRepresentation
bin111110101010010100…
…111000011100001000
320102200000011100000000
4332222110320130020
52100243210011331
650524201043000
74601212333506
oct765224703410
9212600140000
1067282110216
1126596aa7272
1211058786460
136463339149
143383a87676
151b3bbe50e6
hexfaa538708

67282110216 has 144 divisors (see below), whose sum is σ = 190012389840. Its totient is φ = 22333644000.

The previous prime is 67282110209. The next prime is 67282110229. The reversal of 67282110216 is 61201128276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13171935 + ... + 13177041.

It is an arithmetic number, because the mean of its divisors is an integer number (1319530485).

Almost surely, 267282110216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67282110216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95006194920).

67282110216 is an abundant number, since it is smaller than the sum of its proper divisors (122730279624).

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

67282110216 is an equidigital number, since it uses as much as digits as its factorization.

67282110216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 67282110216 in words is "sixty-seven billion, two hundred eighty-two million, one hundred ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 648 729 753 972 1004 1458 1506 1944 2008 2187 2259 2916 3012 4374 4518 5107 5832 6024 6561 6777 8748 9036 10214 13122 13554 15321 17496 18072 20331 20428 26244 27108 30642 40662 40856 45963 52488 54216 60993 61284 81324 91926 121986 122568 137889 162648 182979 183852 243972 275778 365958 367704 413667 487944 548937 551556 731916 827334 1097874 1103112 1241001 1281857 1463832 1646811 1654668 2195748 2482002 2563714 3293622 3309336 3723003 3845571 4391496 4964004 5127428 6587244 7446006 7691142 9928008 10254856 11169009 11536713 13174488 14892012 15382284 22338018 23073426 29784024 30764568 33507027 34610139 44676036 46146852 67014054 69220278 89352072 92293704 103830417 134028108 138440556 207660834 268056216 276881112 311491251 415321668 622982502 830643336 934473753 1245965004 1868947506 2491930008 2803421259 3737895012 5606842518 7475790024 8410263777 11213685036 16820527554 22427370072 33641055108 67282110216