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9966059151321 = 3713214920699109
BaseRepresentation
bin1001000100000110011101…
…1010100101111111011001
31022021202010210112111100210
42101001213122211333121
52301240442120320241
633110202214521333
72046011144032560
oct221014732457731
938252123474323
109966059151321
1131a2644638059
12114b5a5066249
13573a454b2600
1426650756abd7
1512439037a316
hex910676a5fd9

9966059151321 has 96 divisors (see below), whose sum is σ = 16564603680000. Its totient is φ = 5218445067264.

The previous prime is 9966059151311. The next prime is 9966059151331. The reversal of 9966059151321 is 1231519506699.

It is an interprime number because it is at equal distance from previous prime (9966059151311) and next prime (9966059151331).

It is not a de Polignac number, because 9966059151321 - 25 = 9966059151289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9966059151311) 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 95 ways as a sum of consecutive naturals, for example, 1094084715 + ... + 1094093823.

It is an arithmetic number, because the mean of its divisors is an integer number (172547955000).

Almost surely, 29966059151321 is an apocalyptic number.

9966059151321 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9966059151321 is a deficient number, since it is larger than the sum of its proper divisors (6598544528679).

9966059151321 is a wasteful number, since it uses less digits than its factorization.

9966059151321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 57.

The spelling of 9966059151321 in words is "nine trillion, nine hundred sixty-six billion, fifty-nine million, one hundred fifty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 149 169 273 447 507 1043 1183 1937 2069 3129 3549 5811 6207 9109 13559 14483 25181 26897 27327 40677 43449 63763 75543 80691 118417 176267 188279 191289 308281 349661 355251 528801 564837 828919 924843 1048983 1357241 1539421 2157967 2447627 2486757 4007653 4071723 4618263 6473901 7342881 9500687 10775947 12022959 17644133 18846521 28053571 28502061 32327841 52099489 52932399 56539563 84160713 123508931 131925647 156298467 229373729 245004773 364696423 370526793 395776941 688121187 735014319 1094089269 1605616103 1715033411 2808131629 3185062049 4816848309 5145100233 8424394887 9555186147 19656921403 22295434343 36505711177 58970764209 66886303029 109517133531 255539978239 474574245301 766619934717 1423722735903 3322019717107 9966059151321