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404512027920029 is a prime number
BaseRepresentation
bin101101111111001101100101…
…1101110110100011010011101
31222001020222020201211011202002
41123332123023232310122131
5411010011113121420104
63552154132112212045
7151130013101305301
oct13376331356643235
91861228221734662
10404512027920029
11107987651177037
123945118383a025
13144934223530a3
1471c66b53b5d01
1531b7445b5501e
hex16fe6cbbb469d

404512027920029 has 2 divisors, whose sum is σ = 404512027920030. Its totient is φ = 404512027920028.

The previous prime is 404512027919981. The next prime is 404512027920031. The reversal of 404512027920029 is 920029720215404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304366474994404 + 100145552925625 = 17446102^2 + 10007275^2 .

It is a cyclic number.

It is not a de Polignac number, because 404512027920029 - 232 = 404507732952733 is a prime.

Together with 404512027920031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404512027920229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202256013960014 + 202256013960015.

It is an arithmetic number, because the mean of its divisors is an integer number (202256013960015).

Almost surely, 2404512027920029 is an apocalyptic number.

It is an amenable number.

404512027920029 is a deficient number, since it is larger than the sum of its proper divisors (1).

404512027920029 is an equidigital number, since it uses as much as digits as its factorization.

404512027920029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 404512027920029 in words is "four hundred four trillion, five hundred twelve billion, twenty-seven million, nine hundred twenty thousand, twenty-nine".