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66761611727055 = 3573722377060341
BaseRepresentation
bin11110010111000001001100…
…01001101101000011001111
322202101100101111202111020020
433023200212021231003033
532222310240100231210
6353553505551553223
720030236655342550
oct1713404611550317
9282340344674206
1066761611727055
111a2aa493391643
1275a2a2082b813
132b337929b5b3b
14126b3ca388327
157ab951aae770
hex3cb82626d0cf

66761611727055 has 64 divisors (see below), whose sum is σ = 125940025171968. Its totient is φ = 29561579389440.

The previous prime is 66761611727053. The next prime is 66761611727147. The reversal of 66761611727055 is 55072711616766.

66761611727055 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 66761611727055 - 21 = 66761611727053 is a prime.

It is a super-2 number, since 2×667616117270552 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 66761611727055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66761611727053) 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 63 ways as a sum of consecutive naturals, for example, 37663816 + ... + 39396525.

It is an arithmetic number, because the mean of its divisors is an integer number (1967812893312).

Almost surely, 266761611727055 is an apocalyptic number.

66761611727055 is a deficient number, since it is larger than the sum of its proper divisors (59178413444913).

66761611727055 is a wasteful number, since it uses less digits than its factorization.

66761611727055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77060616.

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 66761611727055 in words is "sixty-six trillion, seven hundred sixty-one billion, six hundred eleven million, seven hundred twenty-seven thousand, fifty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 223 259 555 669 777 1115 1295 1561 3345 3885 4683 7805 8251 23415 24753 41255 57757 123765 173271 288785 866355 77060341 231181023 385301705 539422387 1155905115 1618267161 2697111935 2851232617 8091335805 8553697851 14256163085 17184456043 19958628319 42768489255 51553368129 59875884957 85922280215 99793141595 120291192301 257766840645 299379424785 360873576903 601455961505 635824873591 1804367884515 1907474620773 3179124367955 4450774115137 9537373103865 13352322345411 22253870575685 66761611727055