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2033442112769 is a prime number
BaseRepresentation
bin11101100101110010100…
…110000100010100000001
321012101200002002012101022
4131211302212010110001
5231303442140102034
64154052253315225
7266624406526064
oct35456246042401
97171602065338
102033442112769
11714418074111
1228a117795b15
131199a2aa8692
14705c21088db
1537d63dcbb2e
hex1d972984501

2033442112769 has 2 divisors, whose sum is σ = 2033442112770. Its totient is φ = 2033442112768.

The previous prime is 2033442112727. The next prime is 2033442112781. The reversal of 2033442112769 is 9672112443302.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1894862371600 + 138579741169 = 1376540^2 + 372263^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033442112769 - 228 = 2033173677313 is a prime.

It is a super-2 number, since 2×20334421127692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2033442112469) 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, 1016721056384 + 1016721056385.

It is an arithmetic number, because the mean of its divisors is an integer number (1016721056385).

Almost surely, 22033442112769 is an apocalyptic number.

It is an amenable number.

2033442112769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033442112769 is an equidigital number, since it uses as much as digits as its factorization.

2033442112769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 2033442112769 in words is "two trillion, thirty-three billion, four hundred forty-two million, one hundred twelve thousand, seven hundred sixty-nine".