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381662090657 is a prime number
BaseRepresentation
bin1011000110111001101…
…01010101010110100001
31100111010200120001111022
411203130311111112201
522223120443400112
6451155543055225
736400641146321
oct5433465252641
91314120501438
10381662090657
11137953333721
1261b75a41515
1329cb53c8c03
1414688935281
159ddba43d72
hex58dcd555a1

381662090657 has 2 divisors, whose sum is σ = 381662090658. Its totient is φ = 381662090656.

The previous prime is 381662090653. The next prime is 381662090659. The reversal of 381662090657 is 756090266183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283076138401 + 98585952256 = 532049^2 + 313984^2 .

It is a cyclic number.

It is not a de Polignac number, because 381662090657 - 22 = 381662090653 is a prime.

Together with 381662090659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 381662090599 and 381662090608.

It is not a weakly prime, because it can be changed into another prime (381662090651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190831045328 + 190831045329.

It is an arithmetic number, because the mean of its divisors is an integer number (190831045329).

Almost surely, 2381662090657 is an apocalyptic number.

It is an amenable number.

381662090657 is a deficient number, since it is larger than the sum of its proper divisors (1).

381662090657 is an equidigital number, since it uses as much as digits as its factorization.

381662090657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 381662090657 in words is "three hundred eighty-one billion, six hundred sixty-two million, ninety thousand, six hundred fifty-seven".