Search a number
-
+
3676712141 is a prime number
BaseRepresentation
bin1101101100100110…
…0010110011001101
3100111020101022212202
43123021202303031
530012214242031
61404500411245
7160053352244
oct33311426315
910436338782
103676712141
111617454283
128673a6b25
1346795bb1b
1426c43b95b
15167bb62cb
hexdb262ccd

3676712141 has 2 divisors, whose sum is σ = 3676712142. Its totient is φ = 3676712140.

The previous prime is 3676712129. The next prime is 3676712183. The reversal of 3676712141 is 1412176763.

3676712141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3413948041 + 262764100 = 58429^2 + 16210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3676712141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3676712095 and 3676712104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3676712441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1838356070 + 1838356071.

It is an arithmetic number, because the mean of its divisors is an integer number (1838356071).

Almost surely, 23676712141 is an apocalyptic number.

It is an amenable number.

3676712141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3676712141 is an equidigital number, since it uses as much as digits as its factorization.

3676712141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 3676712141 is about 60635.8981214924. The cubic root of 3676712141 is about 1543.4285983124.

The spelling of 3676712141 in words is "three billion, six hundred seventy-six million, seven hundred twelve thousand, one hundred forty-one".