Search a number
-
+
48072121084853 is a prime number
BaseRepresentation
bin10101110111000101010011…
…01100110110101110110101
320022012122112202212010110122
422323202221230312232311
522300103200444203403
6250124005541301325
713061044655134415
oct1273425154665665
9208178482763418
1048072121084853
11143542aa129868
125484848104845
1320a9248b97258
14bc29bb348645
155856ed5c2838
hex2bb8a9b36bb5

48072121084853 has 2 divisors, whose sum is σ = 48072121084854. Its totient is φ = 48072121084852.

The previous prime is 48072121084831. The next prime is 48072121084901. The reversal of 48072121084853 is 35848012127084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47538018827524 + 534102257329 = 6894782^2 + 730823^2 .

It is a cyclic number.

It is not a de Polignac number, because 48072121084853 - 226 = 48072053975989 is a prime.

It is a super-7 number, since 7×480721210848537 (a number of 97 digits) contains 7777777 as substring. Note that it is a super-d number also for d = 3.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48072121084795 and 48072121084804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48072121084753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24036060542426 + 24036060542427.

It is an arithmetic number, because the mean of its divisors is an integer number (24036060542427).

Almost surely, 248072121084853 is an apocalyptic number.

It is an amenable number.

48072121084853 is a deficient number, since it is larger than the sum of its proper divisors (1).

48072121084853 is an equidigital number, since it uses as much as digits as its factorization.

48072121084853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 48072121084853 in words is "forty-eight trillion, seventy-two billion, one hundred twenty-one million, eighty-four thousand, eight hundred fifty-three".