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42807438433 is a prime number
BaseRepresentation
bin100111110111100001…
…011010110001100001
311002111022202012000201
4213313201122301201
51200132201012213
631355423545201
73043544136334
oct476741326141
9132438665021
1042807438433
11171777570a1
12836815b201
1340628b5436
1421013aa61b
1511a81e06dd
hex9f785ac61

42807438433 has 2 divisors, whose sum is σ = 42807438434. Its totient is φ = 42807438432.

The previous prime is 42807438431. The next prime is 42807438451. The reversal of 42807438433 is 33483470824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33471434304 + 9336004129 = 182952^2 + 96623^2 .

It is a cyclic number.

It is not a de Polignac number, because 42807438433 - 21 = 42807438431 is a prime.

Together with 42807438431, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42807438431) 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, 21403719216 + 21403719217.

It is an arithmetic number, because the mean of its divisors is an integer number (21403719217).

Almost surely, 242807438433 is an apocalyptic number.

It is an amenable number.

42807438433 is a deficient number, since it is larger than the sum of its proper divisors (1).

42807438433 is an equidigital number, since it uses as much as digits as its factorization.

42807438433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 42807438433 in words is "forty-two billion, eight hundred seven million, four hundred thirty-eight thousand, four hundred thirty-three".