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66805921311 = 329432735689
BaseRepresentation
bin111110001101111100…
…010111011000011111
320101102211010102121220
4332031330113120133
52043304303440221
650405030424423
74553340650613
oct761574273037
9211384112556
1066805921311
1126372223518
1210b45202113
1363b87a006c
14333a72d343
151b0eed20c6
hexf8df1761f

66805921311 has 48 divisors (see below), whose sum is σ = 95647989600. Its totient is φ = 41418832896.

The previous prime is 66805921291. The next prime is 66805921327. The reversal of 66805921311 is 11312950866.

It is not a de Polignac number, because 66805921311 - 210 = 66805920287 is a prime.

It is a super-2 number, since 2×668059213112 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805921811) by changing a digit.

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, 11740155 + ... + 11745843.

It is an arithmetic number, because the mean of its divisors is an integer number (1992666450).

Almost surely, 266805921311 is an apocalyptic number.

66805921311 is a deficient number, since it is larger than the sum of its proper divisors (28842068289).

66805921311 is a wasteful number, since it uses less digits than its factorization.

66805921311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 66805921311 in words is "sixty-six billion, eight hundred five million, nine hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 29 43 73 87 129 219 1247 1849 2117 3139 3741 5547 5689 6351 9417 17067 53621 91031 134977 160863 164981 244627 273093 404931 415297 494943 733881 1245891 3914333 7094183 10518961 11742999 12043613 17857771 21282549 31556883 36130839 53573313 305049869 517875359 767884153 915149607 1553626077 2303652459 22268640437 66805921311