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42371576905068 = 22325432321666481
BaseRepresentation
bin10011010001001011001101…
…10010100011110101101100
312120000200110001021101222200
421220211212302203311230
521023203442141430233
6230041122251541500
711632150114114605
oct1150454662436554
9176020401241880
1042371576905068
11125567595a1354
124903a8b45a890
131a848129b2aa8
14a66b1c2c4dac
154d72ae155313
hex268966ca3d6c

42371576905068 has 36 divisors (see below), whose sum is σ = 107107907103288. Its totient is φ = 14123598318720.

The previous prime is 42371576905051. The next prime is 42371576905069. The reversal of 42371576905068 is 86050967517324.

42371576905068 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 1 + 576 + 9 + 0 + 50 + 6 + 8 = 666.

42371576905068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 42371576904996 and 42371576905014.

It is not an unprimeable number, because it can be changed into a prime (42371576905069) 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 11 ways as a sum of consecutive naturals, for example, 8877613 + ... + 12788868.

It is an arithmetic number, because the mean of its divisors is an integer number (2975219641758).

It is a 1-persistent number, because it is pandigital, but 2⋅42371576905068 = 84743153810136 is not.

Almost surely, 242371576905068 is an apocalyptic number.

It is an amenable number.

42371576905068 is an abundant number, since it is smaller than the sum of its proper divisors (64736330198220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42371576905068 is a wasteful number, since it uses less digits than its factorization.

42371576905068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21720814 (or 21720809 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 42371576905068 in words is "forty-two trillion, three hundred seventy-one billion, five hundred seventy-six million, nine hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 54323 108646 162969 217292 325938 488907 651876 977814 1955628 21666481 43332962 64999443 86665924 129998886 194998329 259997772 389996658 779993316 1176988247363 2353976494726 3530964742089 4707952989452 7061929484178 10592894226267 14123858968356 21185788452534 42371576905068