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21825360749 is a prime number
BaseRepresentation
bin10100010100111001…
…001001001101101101
32002100001021012110102
4110110321021031231
5324144243020444
614005413120445
71401565335233
oct242471111555
962301235412
1021825360749
11928a935625
124291329125
13209a90715a
1410b08c0953
1587b13384e
hex514e4936d

21825360749 has 2 divisors, whose sum is σ = 21825360750. Its totient is φ = 21825360748.

The previous prime is 21825360707. The next prime is 21825360769. The reversal of 21825360749 is 94706352812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15057007849 + 6768352900 = 122707^2 + 82270^2 .

It is a cyclic number.

It is not a de Polignac number, because 21825360749 - 216 = 21825295213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21825360769) 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, 10912680374 + 10912680375.

It is an arithmetic number, because the mean of its divisors is an integer number (10912680375).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21825360749 = 43650721498, but 3⋅21825360749 = 65476082247 is not.

Almost surely, 221825360749 is an apocalyptic number.

It is an amenable number.

21825360749 is a deficient number, since it is larger than the sum of its proper divisors (1).

21825360749 is an equidigital number, since it uses as much as digits as its factorization.

21825360749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 21825360749 in words is "twenty-one billion, eight hundred twenty-five million, three hundred sixty thousand, seven hundred forty-nine".