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1188164131657 is a prime number
BaseRepresentation
bin10001010010100100000…
…110011101101101001001
311012120212012102200221021
4101102210012131231021
5123431330004203112
62305500212512441
7151561546324156
oct21224406355511
94176765380837
101188164131657
1141899674a018
1217233591b721
138807445c409
144171663322d
1520d90a8b907
hex114a419db49

1188164131657 has 2 divisors, whose sum is σ = 1188164131658. Its totient is φ = 1188164131656.

The previous prime is 1188164131591. The next prime is 1188164131717. The reversal of 1188164131657 is 7561314618811.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 715815831481 + 472348300176 = 846059^2 + 687276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1188164131657 is a prime.

It is not a weakly prime, because it can be changed into another prime (1188164131457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 594082065828 + 594082065829.

It is an arithmetic number, because the mean of its divisors is an integer number (594082065829).

Almost surely, 21188164131657 is an apocalyptic number.

It is an amenable number.

1188164131657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1188164131657 is an equidigital number, since it uses as much as digits as its factorization.

1188164131657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 967680, while the sum is 52.

The spelling of 1188164131657 in words is "one trillion, one hundred eighty-eight billion, one hundred sixty-four million, one hundred thirty-one thousand, six hundred fifty-seven".