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45104072081 is a prime number
BaseRepresentation
bin101010000000011010…
…011000010110010001
311022102101021021010012
4222000122120112101
51214333120301311
632415344444305
73154502200265
oct520032302621
9138371237105
1045104072081
1118146088a32
1288a9319695
13433a64c263
14227c4000a5
15128eb4978b
hexa80698591

45104072081 has 2 divisors, whose sum is σ = 45104072082. Its totient is φ = 45104072080.

The previous prime is 45104072009. The next prime is 45104072119. The reversal of 45104072081 is 18027040154.

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., 43976187025 + 1127885056 = 209705^2 + 33584^2 .

It is a cyclic number.

It is not a de Polignac number, because 45104072081 - 214 = 45104055697 is a prime.

It is a super-2 number, since 2×451040720812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45104078081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22552036040 + 22552036041.

It is an arithmetic number, because the mean of its divisors is an integer number (22552036041).

Almost surely, 245104072081 is an apocalyptic number.

It is an amenable number.

45104072081 is a deficient number, since it is larger than the sum of its proper divisors (1).

45104072081 is an equidigital number, since it uses as much as digits as its factorization.

45104072081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 45104072081 in words is "forty-five billion, one hundred four million, seventy-two thousand, eighty-one".