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6880931168085 = 3251376115456341
BaseRepresentation
bin110010000100001011101…
…1101010011111101010101
3220100210212220221121100200
41210020113131103331111
51400214121334334320
622345020043131113
71310062613615442
oct144102735237525
926323786847320
106880931168085
112213206293627
129316a1b13a99
133abb3b32b4c0
1419b0788409c9
15bdec7380290
hex64217753f55

6880931168085 has 48 divisors (see below), whose sum is σ = 12861284003568. Its totient is φ = 3383083699200.

The previous prime is 6880931168021. The next prime is 6880931168159. The reversal of 6880931168085 is 5808611390886.

It can be written as a sum of positive squares in 8 ways, for example, as 4921129963044 + 1959801205041 = 2218362^2 + 1399929^2 .

It is not a de Polignac number, because 6880931168085 - 26 = 6880931168021 is a prime.

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, 7282986 + ... + 8173355.

It is an arithmetic number, because the mean of its divisors is an integer number (267943416741).

Almost surely, 26880931168085 is an apocalyptic number.

6880931168085 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6880931168085 is a deficient number, since it is larger than the sum of its proper divisors (5980352835483).

6880931168085 is a wasteful number, since it uses less digits than its factorization.

6880931168085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457126 (or 15457123 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 6880931168085 in words is "six trillion, eight hundred eighty billion, nine hundred thirty-one million, one hundred sixty-eight thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 761 2283 3805 6849 9893 11415 29679 34245 49465 89037 148395 445185 15456341 46369023 77281705 139107069 200932433 231845115 602797299 695535345 1004662165 1808391897 3013986495 9041959485 11762275501 35286826503 58811377505 105860479509 152909581513 176434132515 458728744539 529302397545 764547907565 1376186233617 2293643722695 6880931168085