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18752261441 is a prime number
BaseRepresentation
bin10001011101101110…
…001100110101000001
31210101212200120201112
4101131232030311001
5301401034331231
612340434013105
71232461410104
oct213556146501
953355616645
1018752261441
117a53187631
123774117195
1319cb03a4b4
14c9c6ca73b
1574b45092b
hex45db8cd41

18752261441 has 2 divisors, whose sum is σ = 18752261442. Its totient is φ = 18752261440.

The previous prime is 18752261419. The next prime is 18752261459. The reversal of 18752261441 is 14416225781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11308195600 + 7444065841 = 106340^2 + 86279^2 .

It is an emirp because it is prime and its reverse (14416225781) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18752261441 is a prime.

It is not a weakly prime, because it can be changed into another prime (18752261141) 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, 9376130720 + 9376130721.

It is an arithmetic number, because the mean of its divisors is an integer number (9376130721).

Almost surely, 218752261441 is an apocalyptic number.

It is an amenable number.

18752261441 is a deficient number, since it is larger than the sum of its proper divisors (1).

18752261441 is an equidigital number, since it uses as much as digits as its factorization.

18752261441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 107520, while the sum is 41.

The spelling of 18752261441 in words is "eighteen billion, seven hundred fifty-two million, two hundred sixty-one thousand, four hundred forty-one".