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381544375657 is a prime number
BaseRepresentation
bin1011000110101011101…
…00010010010101101001
31100110211111001111212111
411203111310102111221
522222400330010112
6451140140042321
736365011453024
oct5432564222551
91313744044774
10381544375657
111378a29426a5
1261b425333a1
1329c96bc2073
14146770521bb
159dd15405a7
hex58d5d12569

381544375657 has 2 divisors, whose sum is σ = 381544375658. Its totient is φ = 381544375656.

The previous prime is 381544375649. The next prime is 381544375717. The reversal of 381544375657 is 756573445183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250456207936 + 131088167721 = 500456^2 + 362061^2 .

It is a cyclic number.

It is not a de Polignac number, because 381544375657 - 23 = 381544375649 is a prime.

It is a super-2 number, since 2×3815443756572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (381544375607) 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, 190772187828 + 190772187829.

It is an arithmetic number, because the mean of its divisors is an integer number (190772187829).

Almost surely, 2381544375657 is an apocalyptic number.

It is an amenable number.

381544375657 is a deficient number, since it is larger than the sum of its proper divisors (1).

381544375657 is an equidigital number, since it uses as much as digits as its factorization.

381544375657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336000, while the sum is 58.

The spelling of 381544375657 in words is "three hundred eighty-one billion, five hundred forty-four million, three hundred seventy-five thousand, six hundred fifty-seven".