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66561424265223 = 3429311575822081
BaseRepresentation
bin11110010001001100010100…
…00011001001000000000111
322201200012200002201202110000
433020212022003021000013
532211020244102441343
6353321521323532343
720006622100111566
oct1710461203110007
9281605602652400
1066561424265223
111a2325a5821608
12757007238a0b3
132b1a93b8ac604
141261839429bdd
157a6636e5aed3
hex3c898a0c9007

66561424265223 has 80 divisors (see below), whose sum is σ = 106854301128960. Its totient is φ = 41197969612800.

The previous prime is 66561424265209. The next prime is 66561424265251. The reversal of 66561424265223 is 32256242416566.

66561424265223 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 142 + 426 + 52 + 23 = 666.

It is not a de Polignac number, because 66561424265223 - 28 = 66561424264967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66561424265223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66561424965223) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8521543 + ... + 14343623.

It is an arithmetic number, because the mean of its divisors is an integer number (1335678764112).

Almost surely, 266561424265223 is an apocalyptic number.

66561424265223 is a deficient number, since it is larger than the sum of its proper divisors (40292876863737).

66561424265223 is a wasteful number, since it uses less digits than its factorization.

66561424265223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822310 (or 5822301 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 66561424265223 in words is "sixty-six trillion, five hundred sixty-one billion, four hundred twenty-four million, two hundred sixty-five thousand, two hundred twenty-three".

Divisors: 1 3 9 27 29 31 81 87 93 157 261 279 471 783 837 899 1413 2349 2511 2697 4239 4553 4867 8091 12717 13659 14601 24273 40977 43803 72819 122931 131409 141143 368793 394227 423429 1270287 3810861 5822081 11432583 17466243 52398729 157196187 168840349 180484511 471588561 506521047 541453533 914066717 1519563141 1624360599 2742200151 4558689423 4873081797 5234050819 8226600453 13676068269 14619245391 15702152457 24679801359 26507934793 28336068227 47106457371 74039404077 79523804379 85008204681 141319372113 238571413137 255024614043 423958116339 715714239411 765073842129 821745978583 2147142718233 2295221526387 2465237935749 7395713807247 22187141421741 66561424265223