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66006610655505 = 351317121716361131
BaseRepresentation
bin11110000001000010111001…
…00101001011100100010001
322122201011121012001011102020
433000201130211023210101
532122423014311434010
6352215003542442053
716621551226204002
oct1700413445134421
9278634535034366
1066006610655505
111a039278a20913
1274a0634433329
132aaa520663960
141242a464931a9
15796eb4098470
hex3c085c94b911

66006610655505 has 64 divisors (see below), whose sum is σ = 120523689877248. Its totient is φ = 30558925946880.

The previous prime is 66006610655473. The next prime is 66006610655507. The reversal of 66006610655505 is 50555601660066.

It is not a de Polignac number, because 66006610655505 - 25 = 66006610655473 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66006610655507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4146211 + ... + 12214920.

It is an arithmetic number, because the mean of its divisors is an integer number (1883182654332).

Almost surely, 266006610655505 is an apocalyptic number.

66006610655505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66006610655505 is a deficient number, since it is larger than the sum of its proper divisors (54517079221743).

66006610655505 is a wasteful number, since it uses less digits than its factorization.

66006610655505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362386.

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 66006610655505 in words is "sixty-six trillion, six billion, six hundred ten million, six hundred fifty-five thousand, five hundred five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 1217 3315 3651 6085 15821 18255 20689 47463 62067 79105 103445 237315 268957 310335 806871 1344785 4034355 16361131 49083393 81805655 212694703 245416965 278139227 638084109 834417681 1063473515 1390696135 3190420545 3615809951 4172088405 10847429853 18079049755 19911496427 54237149265 59734489281 99557482135 258849453551 298672446405 338495439259 776548360653 1015486317777 1294247267755 1692477196295 3882741803265 4400440710367 5077431588885 13201322131101 22002203551835 66006610655505