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14066786085 = 35111723337647
BaseRepresentation
bin11010001100111001…
…00001111100100101
31100022100010202212020
431012130201330211
5212302044123320
610243500013353
71005405465102
oct150634417445
940270122766
1014066786085
115a69374650
122886b31259
1314323c3881
149762ddaa9
15574e26940
hex346721f25

14066786085 has 128 divisors (see below), whose sum is σ = 27250089984. Its totient is φ = 6112296960.

The previous prime is 14066786029. The next prime is 14066786093. The reversal of 14066786085 is 58068766041.

14066786085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14066786085 - 215 = 14066753317 is a prime.

It is a super-2 number, since 2×140667860852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21741232 + ... + 21741878.

It is an arithmetic number, because the mean of its divisors is an integer number (212891328).

Almost surely, 214066786085 is an apocalyptic number.

14066786085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14066786085 is a deficient number, since it is larger than the sum of its proper divisors (13183303899).

14066786085 is a wasteful number, since it uses less digits than its factorization.

14066786085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 14066786085 in words is "fourteen billion, sixty-six million, seven hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 11 15 17 23 33 51 55 69 85 115 165 187 253 255 337 345 391 561 647 759 935 1011 1173 1265 1685 1941 1955 2805 3235 3707 3795 4301 5055 5729 5865 7117 7751 9705 10999 11121 12903 14881 17187 18535 21351 21505 23253 28645 32997 35585 38755 44643 54995 55605 63019 64515 74405 85261 85935 106755 116265 120989 131767 163691 164985 189057 218039 223215 252977 255783 315095 362967 395301 426305 491073 604945 654117 658835 758931 818455 945285 1090195 1264885 1278915 1449437 1814835 1976505 2398429 2455365 2782747 3270585 3706663 3794655 4348311 5014897 7195287 7247185 8348241 11119989 11992145 13913735 15044691 18533315 21741555 25074485 35976435 40773293 41741205 55163867 55599945 75223455 85253249 122319879 165491601 203866465 255759747 275819335 426266245 611599395 827458005 937785739 1278798735 2813357217 4688928695 14066786085