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57164630381 is a prime number
BaseRepresentation
bin110101001111010001…
…110000100101101101
312110112220100002211122
4311033101300211231
51414033121133011
642132220230325
74062410224655
oct651721604555
9173486302748
1057164630381
1122274a41991
12b0b439b3a5
1355101c7ba1
142aa40a3365
15174887d3db
hexd4f47096d

57164630381 has 2 divisors, whose sum is σ = 57164630382. Its totient is φ = 57164630380.

The previous prime is 57164630377. The next prime is 57164630461. The reversal of 57164630381 is 18303646175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29306016100 + 27858614281 = 171190^2 + 166909^2 .

It is a cyclic number.

It is not a de Polignac number, because 57164630381 - 22 = 57164630377 is a prime.

It is a super-2 number, since 2×571646303812 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57164630311) 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, 28582315190 + 28582315191.

It is an arithmetic number, because the mean of its divisors is an integer number (28582315191).

Almost surely, 257164630381 is an apocalyptic number.

It is an amenable number.

57164630381 is a deficient number, since it is larger than the sum of its proper divisors (1).

57164630381 is an equidigital number, since it uses as much as digits as its factorization.

57164630381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 57164630381 in words is "fifty-seven billion, one hundred sixty-four million, six hundred thirty thousand, three hundred eighty-one".