Search a number
-
+
57457142921 is a prime number
BaseRepresentation
bin110101100000101101…
…100110110010001001
312111022021202021121102
4311200231212302021
51420133012033141
642221225551145
74102561441133
oct654055466211
9174267667542
1057457142921
1122405071992
12b1763454b5
1355589a3929
142ad0c88053
1517643ad99b
hexd60b66c89

57457142921 has 2 divisors, whose sum is σ = 57457142922. Its totient is φ = 57457142920.

The previous prime is 57457142879. The next prime is 57457142923. The reversal of 57457142921 is 12924175475.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33907171321 + 23549971600 = 184139^2 + 153460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57457142921 is a prime.

Together with 57457142923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57457142923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28728571460 + 28728571461.

It is an arithmetic number, because the mean of its divisors is an integer number (28728571461).

Almost surely, 257457142921 is an apocalyptic number.

It is an amenable number.

57457142921 is a deficient number, since it is larger than the sum of its proper divisors (1).

57457142921 is an equidigital number, since it uses as much as digits as its factorization.

57457142921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 47.

The spelling of 57457142921 in words is "fifty-seven billion, four hundred fifty-seven million, one hundred forty-two thousand, nine hundred twenty-one".