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42066369646227 = 37171618769899
BaseRepresentation
bin10011001000010010101110…
…00001010000111010010011
312111221111122121222020000000
421210021113001100322103
521003203411112134402
6225245005021101043
711601123566165463
oct1144112701207223
9174844577866000
1042066369646227
1112449279aa7453
1248748b20b7783
131a61ac30c9344
14a5604776dba3
154ce39974ec1c
hex264257050e93

42066369646227 has 64 divisors (see below), whose sum is σ = 66806192448000. Its totient is φ = 26392576685184.

The previous prime is 42066369646187. The next prime is 42066369646271. The reversal of 42066369646227 is 72264696366024.

42066369646227 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 6 + 369 + 6 + 46 + 227 = 666.

It is not a de Polignac number, because 42066369646227 - 211 = 42066369644179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42066369646277) 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, 601781524 + ... + 601851422.

It is an arithmetic number, because the mean of its divisors is an integer number (1043846757000).

Almost surely, 242066369646227 is an apocalyptic number.

42066369646227 is a deficient number, since it is larger than the sum of its proper divisors (24739822801773).

42066369646227 is an equidigital number, since it uses as much as digits as its factorization.

42066369646227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86124 (or 86106 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 63.

The spelling of 42066369646227 in words is "forty-two trillion, sixty-six billion, three hundred sixty-nine million, six hundred forty-six thousand, two hundred twenty-seven".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 4131 12393 16187 37179 48561 69899 145683 209697 275179 437049 629091 825537 1188283 1311147 1887273 2476611 3564849 3933441 5661819 7429833 10694547 11800323 16985457 22289499 32083641 35400969 50956371 66868497 96250923 152869113 200605491 288752769 601816473 866258307 1131455113 2598774921 3394365339 10183096017 19234736921 30549288051 57704210763 91647864153 173112632289 274943592459 519337896867 824830777377 1558013690601 2474492332131 4674041071803 14022123215409 42066369646227