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42905044081 is a prime number
BaseRepresentation
bin100111111101010101…
…110000010001110001
311002202010102001210201
4213331111300101301
51200332142402311
631413231555201
73046140600034
oct477525602161
9132663361721
1042905044081
1117217862719
12839498bb01
134079b9b163
14211033701b
1511b1a709c1
hex9fd570471

42905044081 has 2 divisors, whose sum is σ = 42905044082. Its totient is φ = 42905044080.

The previous prime is 42905044079. The next prime is 42905044093. The reversal of 42905044081 is 18044050924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36144093456 + 6760950625 = 190116^2 + 82225^2 .

It is a cyclic number.

It is not a de Polignac number, because 42905044081 - 21 = 42905044079 is a prime.

It is a super-2 number, since 2×429050440812 (a number of 22 digits) contains 22 as substring.

Together with 42905044079, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 42905044081.

It is not a weakly prime, because it can be changed into another prime (42905044001) 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 as a sum of consecutive naturals, namely, 21452522040 + 21452522041.

It is an arithmetic number, because the mean of its divisors is an integer number (21452522041).

Almost surely, 242905044081 is an apocalyptic number.

It is an amenable number.

42905044081 is a deficient number, since it is larger than the sum of its proper divisors (1).

42905044081 is an equidigital number, since it uses as much as digits as its factorization.

42905044081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 42905044081 in words is "forty-two billion, nine hundred five million, forty-four thousand, eighty-one".