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12680528918211 = 357114431529807
BaseRepresentation
bin1011100010000110101001…
…1010111111011011000011
31122220020122212022001200000
42320201222122333123003
53130224210400340321
642545204330331043
72446065220250520
oct270415232773303
948806585261600
1012680528918211
114049866aa2570
1215096a3589a83
1370c9cbc2074b
1431ba52d60147
1516ecb28d8826
hexb886a6bf6c3

12680528918211 has 96 divisors (see below), whose sum is σ = 23735179173888. Its totient is φ = 6572413729440.

The previous prime is 12680528918203. The next prime is 12680528918221. The reversal of 12680528918211 is 11281982508621.

12680528918211 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 528 + 91 + 8 + 21 + 1 = 666.

It is not a de Polignac number, because 12680528918211 - 23 = 12680528918203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12680528918221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7524070 + ... + 9053876.

It is an arithmetic number, because the mean of its divisors is an integer number (247241449728).

Almost surely, 212680528918211 is an apocalyptic number.

12680528918211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12680528918211 is a deficient number, since it is larger than the sum of its proper divisors (11054650255677).

12680528918211 is a wasteful number, since it uses less digits than its factorization.

12680528918211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530283 (or 1530271 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 12680528918211 in words is "twelve trillion, six hundred eighty billion, five hundred twenty-eight million, nine hundred eighteen thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 443 567 693 891 1329 1701 2079 2673 3101 3987 4873 6237 9303 11961 14619 18711 27909 34111 35883 43857 83727 102333 107649 131571 251181 306999 394713 753543 920997 1184139 1529807 2762991 4589421 8288973 10708649 13768263 16827877 32125947 41304789 50483631 96377841 117795139 123914367 151450893 289133523 353385417 371743101 454352679 677704501 867400569 1060156251 1363058037 2033113503 2602201707 3180468753 4089174111 4743931507 6099340509 7454749511 9541406259 14231794521 18298021527 22364248533 28624218777 42695383563 52183246577 54894064581 67092745599 128086150689 156549739731 164682193743 201278236797 384258452067 469649219193 603834710391 1152775356201 1408947657579 1811504131173 4226842972737 12680528918211