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383084378401 is a prime number
BaseRepresentation
bin1011001001100011001…
…10111011100100100001
31100121210210211202111011
411210301212323210201
522234024100102101
6451553031420521
736451121326654
oct5446146734441
91317723752434
10383084378401
1113851316553a
12622b2224741
132a180c7c1aa
14147817a989b
159e7183c751
hex59319bb921

383084378401 has 2 divisors, whose sum is σ = 383084378402. Its totient is φ = 383084378400.

The previous prime is 383084378371. The next prime is 383084378407. The reversal of 383084378401 is 104873480383.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 343929467025 + 39154911376 = 586455^2 + 197876^2 .

It is a cyclic number.

It is not a de Polignac number, because 383084378401 - 231 = 380936894753 is a prime.

It is not a weakly prime, because it can be changed into another prime (383084378407) 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, 191542189200 + 191542189201.

It is an arithmetic number, because the mean of its divisors is an integer number (191542189201).

Almost surely, 2383084378401 is an apocalyptic number.

It is an amenable number.

383084378401 is a deficient number, since it is larger than the sum of its proper divisors (1).

383084378401 is an equidigital number, since it uses as much as digits as its factorization.

383084378401 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 49.

The spelling of 383084378401 in words is "three hundred eighty-three billion, eighty-four million, three hundred seventy-eight thousand, four hundred one".