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42289787871 = 321961101137293
BaseRepresentation
bin100111011000101010…
…101111001111011111
311001011020200210221200
4213120222233033133
51143102141202441
631232212530543
73024660160122
oct473052571737
9131136623850
1042289787871
1116a31534611
128242920a53
133cac590426
14209273c3b9
151177a3c7b6
hex9d8aaf3df

42289787871 has 96 divisors (see below), whose sum is σ = 66710105280. Its totient is φ = 25733376000.

The previous prime is 42289787849. The next prime is 42289787951. The reversal of 42289787871 is 17878798224.

42289787871 is a `hidden beast` number, since 422 + 8 + 9 + 78 + 78 + 71 = 666.

It is not a de Polignac number, because 42289787871 - 26 = 42289787807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42289787799 and 42289787808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42289787801) 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 95 ways as a sum of consecutive naturals, for example, 144333601 + ... + 144333893.

It is an arithmetic number, because the mean of its divisors is an integer number (694896930).

Almost surely, 242289787871 is an apocalyptic number.

42289787871 is a deficient number, since it is larger than the sum of its proper divisors (24420317409).

42289787871 is a wasteful number, since it uses less digits than its factorization.

42289787871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 614 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 42289787871 in words is "forty-two billion, two hundred eighty-nine million, seven hundred eighty-seven thousand, eight hundred seventy-one".

Divisors: 1 3 9 19 57 61 101 137 171 183 293 303 411 549 879 909 1159 1233 1919 2603 2637 3477 5567 5757 6161 7809 8357 10431 13837 16701 17271 17873 18483 23427 25071 29593 40141 41511 50103 53619 55449 75213 88779 117059 120423 124533 158783 160857 262903 266337 339587 351177 361269 476349 562267 762679 788709 844057 1018761 1053531 1429047 1686801 1805173 2288037 2366127 2448601 2532171 3056283 4054241 5060403 5415519 6864111 7345803 7596513 12162723 16037083 16246557 22037409 34298287 36488169 46523419 48111249 77030579 102894861 139570257 144333747 231091737 247308701 308684583 418710771 693275211 741926103 2225778309 4698865319 14096595957 42289787871