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66717644012343 = 3353231120174423
BaseRepresentation
bin11110010101101111010010…
…11110001011101100110111
322202020010220022202011101000
433022313221132023230313
532221100213331343333
6353521355035134343
720024122262052432
oct1712675136135467
9282203808664330
1066717644012343
111a2928807a0835
1275963abba43b3
132b2c5a69070bc
141269218c6c819
157aa72bacd713
hex3cade978bb37

66717644012343 has 32 divisors (see below), whose sum is σ = 100749459502080. Its totient is φ = 43620328271520.

The previous prime is 66717644012207. The next prime is 66717644012359. The reversal of 66717644012343 is 34321044671766.

66717644012343 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 76 + 440 + 123 + 4 + 3 = 666.

It is not a de Polignac number, because 66717644012343 - 232 = 66713349045047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66717644012343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66717644002343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6780171 + ... + 13394252.

It is an arithmetic number, because the mean of its divisors is an integer number (3148420609440).

Almost surely, 266717644012343 is an apocalyptic number.

66717644012343 is a deficient number, since it is larger than the sum of its proper divisors (34031815489737).

66717644012343 is a wasteful number, since it uses less digits than its factorization.

66717644012343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176796 (or 20176790 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 66717644012343 in words is "sixty-six trillion, seven hundred seventeen billion, six hundred forty-four million, twelve thousand, three hundred forty-three".

Divisors: 1 3 9 27 53 159 477 1431 2311 6933 20799 62397 122483 367449 1102347 3307041 20174423 60523269 181569807 544709421 1069244419 3207733257 9623199771 28869599313 46623091553 139869274659 419607823977 1258823471931 2471023852309 7413071556927 22239214670781 66717644012343