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66429044127 = 32173772716141
BaseRepresentation
bin111101110111011110…
…101100010110011111
320100110112222002022200
4331313132230112133
52042021313403002
650303404542543
74541113362405
oct756736542637
9210415862280
1066429044127
1126199511076
1210a5ab51a53
136358696404
143302667475
151adbd89b1c
hexf777ac59f

66429044127 has 48 divisors (see below), whose sum is σ = 104493235392. Its totient is φ = 40496163840.

The previous prime is 66429044119. The next prime is 66429044131. The reversal of 66429044127 is 72144092466.

66429044127 is a `hidden beast` number, since 66 + 42 + 90 + 441 + 27 = 666.

It is not a de Polignac number, because 66429044127 - 23 = 66429044119 is a prime.

It is a super-3 number, since 3×664290441273 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66429044197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4107477 + ... + 4123617.

It is an arithmetic number, because the mean of its divisors is an integer number (2176942404).

Almost surely, 266429044127 is an apocalyptic number.

66429044127 is a deficient number, since it is larger than the sum of its proper divisors (38064191265).

66429044127 is a wasteful number, since it uses less digits than its factorization.

66429044127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66429044127 in words is "sixty-six billion, four hundred twenty-nine million, forty-four thousand, one hundred twenty-seven".

Divisors: 1 3 9 17 37 51 111 153 333 629 727 1887 2181 5661 6543 12359 16141 26899 37077 48423 80697 111231 145269 242091 274397 457283 597217 823191 1371849 1791651 2469573 4115547 5374953 10152689 11734507 30458067 35203521 91374201 105610563 199486619 434176759 598459857 1302530277 1795379571 3907590831 7381004903 22143014709 66429044127