Search a number
-
+
33330842789 is a prime number
BaseRepresentation
bin11111000010101011…
…000100110010100101
310012000212212020200212
4133002223010302211
51021230143432124
623151215345205
72256653326526
oct370253046245
9105025766625
1033330842789
1113154434572
126562522205
1331b2485baa
14188297284d
15d0127040e
hex7c2ac4ca5

33330842789 has 2 divisors, whose sum is σ = 33330842790. Its totient is φ = 33330842788.

The previous prime is 33330842767. The next prime is 33330842791. The reversal of 33330842789 is 98724803333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24892950625 + 8437892164 = 157775^2 + 91858^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33330842789 is a prime.

It is a super-2 number, since 2×333308427892 (a number of 22 digits) contains 22 as substring.

Together with 33330842791, 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 (33330842729) 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, 16665421394 + 16665421395.

It is an arithmetic number, because the mean of its divisors is an integer number (16665421395).

Almost surely, 233330842789 is an apocalyptic number.

It is an amenable number.

33330842789 is a deficient number, since it is larger than the sum of its proper divisors (1).

33330842789 is an equidigital number, since it uses as much as digits as its factorization.

33330842789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 33330842789 in words is "thirty-three billion, three hundred thirty million, eight hundred forty-two thousand, seven hundred eighty-nine".