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12648328471067 = 232921189872091
BaseRepresentation
bin1011100000001110101100…
…1000000010001000011011
31122210011112202110212021112
42320003223020002020123
53124212234042033232
642522321211130535
72443545241051052
oct270035310021033
948704482425245
1012648328471067
114037142753a83
1215033b7743a4b
137099699cb623
1431a27a59d399
1516e02aa054b2
hexb80eb20221b

12648328471067 has 16 divisors (see below), whose sum is σ = 13718076122880. Its totient is φ = 11625853562400.

The previous prime is 12648328471049. The next prime is 12648328471073. The reversal of 12648328471067 is 76017482384621.

It is a cyclic number.

It is not a de Polignac number, because 12648328471067 - 236 = 12579608994331 is a prime.

It is a super-2 number, since 2×126483284710672 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12648328470997 and 12648328471015.

It is not an unprimeable number, because it can be changed into a prime (12648328671067) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44795309 + ... + 45076782.

It is an arithmetic number, because the mean of its divisors is an integer number (857379757680).

Almost surely, 212648328471067 is an apocalyptic number.

12648328471067 is a deficient number, since it is larger than the sum of its proper divisors (1069747651813).

12648328471067 is a wasteful number, since it uses less digits than its factorization.

12648328471067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89872354.

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 12648328471067 in words is "twelve trillion, six hundred forty-eight billion, three hundred twenty-eight million, four hundred seventy-one thousand, sixty-seven".

Divisors: 1 23 29 211 667 4853 6119 140737 89872091 2067058093 2606290639 18963011201 59944684697 436149257623 549927324829 12648328471067