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20241457256749 is a prime number
BaseRepresentation
bin1001001101000110101001…
…10111101001100100101101
32122200001201221220001002211
410212203110313221210231
510123114001024203444
6111014444101050421
74156253115602431
oct446432467514455
978601657801084
1020241457256749
1164a4398a228a3
12232ab1b0b6a11
13b3a9b8560361
144dd9982849c1
152517d7be6c34
hex1268d4de992d

20241457256749 has 2 divisors, whose sum is σ = 20241457256750. Its totient is φ = 20241457256748.

The previous prime is 20241457256711. The next prime is 20241457256803. The reversal of 20241457256749 is 94765275414202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10575308880900 + 9666148375849 = 3251970^2 + 3109043^2 .

It is a cyclic number.

It is not a de Polignac number, because 20241457256749 - 219 = 20241456732461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20241457256693 and 20241457256702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20241457256249) 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, 10120728628374 + 10120728628375.

It is an arithmetic number, because the mean of its divisors is an integer number (10120728628375).

Almost surely, 220241457256749 is an apocalyptic number.

It is an amenable number.

20241457256749 is a deficient number, since it is larger than the sum of its proper divisors (1).

20241457256749 is an equidigital number, since it uses as much as digits as its factorization.

20241457256749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 20241457256749 in words is "twenty trillion, two hundred forty-one billion, four hundred fifty-seven million, two hundred fifty-six thousand, seven hundred forty-nine".