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45844717696781 is a prime number
BaseRepresentation
bin10100110110010000011100…
…00111001111011100001101
320000022201020012102020120012
422123020032013033130031
522002104440212244111
6241300434512403005
712441112561543553
oct1233101607173415
9200281205366505
1045844717696781
11136756a9a74823
12518501b246465
131c771a4ba66b3
14b46c7916bbd3
155477d64a848b
hex29b20e1cf70d

45844717696781 has 2 divisors, whose sum is σ = 45844717696782. Its totient is φ = 45844717696780.

The previous prime is 45844717696721. The next prime is 45844717696819. The reversal of 45844717696781 is 18769671744854.

45844717696781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33578374249225 + 12266343447556 = 5794685^2 + 3502334^2 .

It is a cyclic number.

It is not a de Polignac number, because 45844717696781 - 230 = 45843643954957 is a prime.

It is a super-2 number, since 2×458447176967812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45844717696721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22922358848390 + 22922358848391.

It is an arithmetic number, because the mean of its divisors is an integer number (22922358848391).

Almost surely, 245844717696781 is an apocalyptic number.

It is an amenable number.

45844717696781 is a deficient number, since it is larger than the sum of its proper divisors (1).

45844717696781 is an equidigital number, since it uses as much as digits as its factorization.

45844717696781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2275983360, while the sum is 77.

The spelling of 45844717696781 in words is "forty-five trillion, eight hundred forty-four billion, seven hundred seventeen million, six hundred ninety-six thousand, seven hundred eighty-one".