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67283340012 = 22337216577673
BaseRepresentation
bin111110101010011001…
…100100101011101100
320102200002110210222000
4332222121210223230
52100244013340022
650524243252300
74601225645100
oct765231445354
9212602423860
1067283340012
1126597767229
121105907a090
136463679b35
143383cc7900
151b3bd896ac
hexfaa664aec

67283340012 has 144 divisors (see below), whose sum is σ = 203066932320. Its totient is φ = 19209705984.

The previous prime is 67283339957. The next prime is 67283340023. The reversal of 67283340012 is 21004338276.

It is a happy number.

It is a super-4 number, since 4×672833400124 (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8765008 + ... + 8772680.

It is an arithmetic number, because the mean of its divisors is an integer number (1410187030).

Almost surely, 267283340012 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 67283340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101533466160).

67283340012 is an abundant number, since it is smaller than the sum of its proper divisors (135783592308).

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

67283340012 is a wasteful number, since it uses less digits than its factorization.

67283340012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 67283340012 its reverse (21004338276), we get a palindrome (88287678288).

The spelling of 67283340012 in words is "sixty-seven billion, two hundred eighty-three million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1657 1764 2646 3314 4971 5292 6628 7673 9942 11599 14913 15346 19884 23019 23198 29826 30692 34797 44739 46038 46396 53711 59652 69057 69594 81193 89478 92076 104391 107422 138114 139188 161133 162386 178956 207171 208782 214844 243579 276228 313173 322266 324772 375977 414342 417564 483399 487158 626346 644532 730737 751954 828684 966798 974316 1127931 1252692 1450197 1461474 1503908 1933596 2192211 2255862 2900394 2922948 3383793 4384422 4511724 5800788 6767586 8768844 10151379 12714161 13535172 20302758 25428322 38142483 40605516 50856644 76284966 88999127 114427449 152569932 177998254 228854898 266997381 343282347 355996508 457709796 533994762 622993889 686564694 800992143 1067989524 1245987778 1373129388 1601984286 1868981667 2402976429 2491975556 3203968572 3737963334 4805952858 5606945001 7475926668 9611905716 11213890002 16820835003 22427780004 33641670006 67283340012