Search a number
-
+
3382904045093 is a prime number
BaseRepresentation
bin110001001110100100110…
…010110011111000100101
3102222101212101210011010212
4301032210302303320211
5420411141413420333
611110030142025205
7466256341640006
oct61164462637045
912871771704125
103382904045093
111094755161121
12467767878205
131b701131c5a1
14b9a3a75d1ad
155cee530e448
hex313a4cb3e25

3382904045093 has 2 divisors, whose sum is σ = 3382904045094. Its totient is φ = 3382904045092.

The previous prime is 3382904045069. The next prime is 3382904045159. The reversal of 3382904045093 is 3905404092833.

3382904045093 is digitally balanced in base 2, 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., 2838072576964 + 544831468129 = 1684658^2 + 738127^2 .

It is an emirp because it is prime and its reverse (3905404092833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3382904045093 - 216 = 3382903979557 is a prime.

It is a super-2 number, since 2×33829040450932 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3382904045993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1691452022546 + 1691452022547.

It is an arithmetic number, because the mean of its divisors is an integer number (1691452022547).

Almost surely, 23382904045093 is an apocalyptic number.

It is an amenable number.

3382904045093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3382904045093 is an equidigital number, since it uses as much as digits as its factorization.

3382904045093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 50.

The spelling of 3382904045093 in words is "three trillion, three hundred eighty-two billion, nine hundred four million, forty-five thousand, ninety-three".