Search a number
-
+
3328748384033 is a prime number
BaseRepresentation
bin110000011100001000110…
…111010110111100100001
3102210020002012100112020102
4300130020313112330201
5414014234041242113
611025112250152145
7462331326262232
oct60341067267441
912706065315212
103328748384033
111073794756446
12459173122655
131b1b90629627
14b7180159089
155b8c5be7758
hex30708dd6f21

3328748384033 has 2 divisors, whose sum is σ = 3328748384034. Its totient is φ = 3328748384032.

The previous prime is 3328748384009. The next prime is 3328748384051. The reversal of 3328748384033 is 3304838478233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3077438673169 + 251309710864 = 1754263^2 + 501308^2 .

It is a cyclic number.

It is not a de Polignac number, because 3328748384033 - 238 = 3053870477089 is a prime.

It is a super-2 number, since 2×33287483840332 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3328748384033.

It is not a weakly prime, because it can be changed into another prime (3328748384333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1664374192016 + 1664374192017.

It is an arithmetic number, because the mean of its divisors is an integer number (1664374192017).

Almost surely, 23328748384033 is an apocalyptic number.

It is an amenable number.

3328748384033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3328748384033 is an equidigital number, since it uses as much as digits as its factorization.

3328748384033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27869184, while the sum is 56.

The spelling of 3328748384033 in words is "three trillion, three hundred twenty-eight billion, seven hundred forty-eight million, three hundred eighty-four thousand, thirty-three".