Search a number
-
+
57106946916869 is a prime number
BaseRepresentation
bin11001111110000001111110…
…10010010000001000000101
321111012101000022121112012012
430333000333102100020011
524441120011402314434
6321242322542304005
715012561244450643
oct1477007722201005
9244171008545165
1057106946916869
1117217a13839a43
1264a3860b88005
1325b3214b69425
141015dc3360193
156907393c93ce
hex33f03f490205

57106946916869 has 2 divisors, whose sum is σ = 57106946916870. Its totient is φ = 57106946916868.

The previous prime is 57106946916839. The next prime is 57106946916883. The reversal of 57106946916869 is 96861964960175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51288657792100 + 5818289124769 = 7161610^2 + 2412113^2 .

It is a cyclic number.

It is not a de Polignac number, because 57106946916869 - 240 = 56007435289093 is a prime.

It is a super-2 number, since 2×571069469168692 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57106946916869.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57106946916839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28553473458434 + 28553473458435.

It is an arithmetic number, because the mean of its divisors is an integer number (28553473458435).

Almost surely, 257106946916869 is an apocalyptic number.

It is an amenable number.

57106946916869 is a deficient number, since it is larger than the sum of its proper divisors (1).

57106946916869 is an equidigital number, since it uses as much as digits as its factorization.

57106946916869 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058158080, while the sum is 77.

The spelling of 57106946916869 in words is "fifty-seven trillion, one hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, eight hundred sixty-nine".