Search a number
-
+
34758105457 is a prime number
BaseRepresentation
bin100000010111101111…
…101001100101110001
310022201100111201000011
4200113233221211301
51032141033333312
623545002454521
72340224010265
oct402757514561
9108640451004
1034758105457
1113817054099
1268a0504441
13337c08b70a
14197a3400a5
15d866ecda7
hex817be9971

34758105457 has 2 divisors, whose sum is σ = 34758105458. Its totient is φ = 34758105456.

The previous prime is 34758105439. The next prime is 34758105581. The reversal of 34758105457 is 75450185743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31927971856 + 2830133601 = 178684^2 + 53199^2 .

It is an emirp because it is prime and its reverse (75450185743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34758105457 - 27 = 34758105329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34758105457.

It is not a weakly prime, because it can be changed into another prime (34758165457) 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, 17379052728 + 17379052729.

It is an arithmetic number, because the mean of its divisors is an integer number (17379052729).

Almost surely, 234758105457 is an apocalyptic number.

It is an amenable number.

34758105457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34758105457 is an equidigital number, since it uses as much as digits as its factorization.

34758105457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352000, while the sum is 49.

The spelling of 34758105457 in words is "thirty-four billion, seven hundred fifty-eight million, one hundred five thousand, four hundred fifty-seven".