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68067277276086 = 232116113940544183
BaseRepresentation
bin11110111101000001001011…
…11000100000001110110110
322221000011112120211122122200
433132200211320200032312
532410203240440313321
6400433401524005330
720223461404366014
oct1736404570401666
9287004476748580
1068067277276086
111a76319656a660
127773a89530846
132bc99417a834a
1412b468c1618b4
157d08bd0a5d26
hex3de825e203b6

68067277276086 has 96 divisors (see below), whose sum is σ = 164700206012160. Its totient is φ = 20142349617600.

The previous prime is 68067277276069. The next prime is 68067277276121.

68067277276086 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 7 + 2 + 7 + 7 + 2 + 7 + 608 + 6 = 666.

68067277276086 is nontrivially palindromic in base 10.

68067277276086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18593250 + ... + 21950933.

It is an arithmetic number, because the mean of its divisors is an integer number (1715627145960).

Almost surely, 268067277276086 is an apocalyptic number.

68067277276086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68067277276086 is an abundant number, since it is smaller than the sum of its proper divisors (96632928736074).

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

68067277276086 is a wasteful number, since it uses less digits than its factorization.

68067277276086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544402 (or 40544399 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 68067277276086 in words is "sixty-eight trillion, sixty-seven billion, two hundred seventy-seven million, two hundred seventy-six thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 139 183 198 278 366 417 549 671 834 1098 1251 1342 1529 2013 2502 3058 4026 4587 6039 8479 9174 12078 13761 16958 25437 27522 50874 76311 93269 152622 186538 279807 559614 839421 1678842 40544183 81088366 121632549 243265098 364897647 445986013 729795294 891972026 1337958039 2473195163 2675916078 4013874117 4946390326 5635641437 7419585489 8027748234 11271282874 14839170978 16906924311 22258756467 27205146793 33813848622 44517512934 50720772933 54410293586 61992055807 81615440379 101441545866 123984111614 163230880758 185976167421 244846321137 343774127657 371952334842 489692642274 557928502263 687548255314 1031322382971 1115857004526 2062644765942 3093967148913 3781515404227 6187934297826 7563030808454 11344546212681 22689092425362 34033638638043 68067277276086