Search a number
-
+
47554681658189 is a prime number
BaseRepresentation
bin10101101000000001011111…
…11010000101101101001101
320020101011221112021202020212
422310000233322011231031
522213113442001030224
6245050152534452205
713005466225442366
oct1264005772055515
9206334845252225
1047554681658189
1114174911058a62
1254004ba804065
13206c5059bbc04
14ba5931d3ab6d
15577016916d0e
hex2b402fe85b4d

47554681658189 has 2 divisors, whose sum is σ = 47554681658190. Its totient is φ = 47554681658188.

The previous prime is 47554681658173. The next prime is 47554681658191. The reversal of 47554681658189 is 98185618645574.

47554681658189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44189694986089 + 3364986672100 = 6647533^2 + 1834390^2 .

It is a cyclic number.

It is not a de Polignac number, because 47554681658189 - 24 = 47554681658173 is a prime.

It is a super-3 number, since 3×475546816581893 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 47554681658191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47554681658119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23777340829094 + 23777340829095.

It is an arithmetic number, because the mean of its divisors is an integer number (23777340829095).

Almost surely, 247554681658189 is an apocalyptic number.

It is an amenable number.

47554681658189 is a deficient number, since it is larger than the sum of its proper divisors (1).

47554681658189 is an equidigital number, since it uses as much as digits as its factorization.

47554681658189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2322432000, while the sum is 77.

The spelling of 47554681658189 in words is "forty-seven trillion, five hundred fifty-four billion, six hundred eighty-one million, six hundred fifty-eight thousand, one hundred eighty-nine".