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481857411641 is a prime number
BaseRepresentation
bin1110000001100001111…
…00001001101000111001
31201001202110201201202112
413000300330021220321
530343320444133031
61005210124342105
746545606263624
oct7006074115071
91631673651675
10481857411641
11176399a46321
12794790a4935
1336592514ca8
14194718badbb
15c802eb162b
hex7030f09a39

481857411641 has 2 divisors, whose sum is σ = 481857411642. Its totient is φ = 481857411640.

The previous prime is 481857411599. The next prime is 481857411683. The reversal of 481857411641 is 146114758184.

It is a balanced prime because it is at equal distance from previous prime (481857411599) and next prime (481857411683).

It can be written as a sum of positive squares in only one way, i.e., 389599424041 + 92257987600 = 624179^2 + 303740^2 .

It is a cyclic number.

It is not a de Polignac number, because 481857411641 - 218 = 481857149497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481857411641.

It is not a weakly prime, because it can be changed into another prime (481857411041) 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, 240928705820 + 240928705821.

It is an arithmetic number, because the mean of its divisors is an integer number (240928705821).

Almost surely, 2481857411641 is an apocalyptic number.

It is an amenable number.

481857411641 is a deficient number, since it is larger than the sum of its proper divisors (1).

481857411641 is an equidigital number, since it uses as much as digits as its factorization.

481857411641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 860160, while the sum is 50.

The spelling of 481857411641 in words is "four hundred eighty-one billion, eight hundred fifty-seven million, four hundred eleven thousand, six hundred forty-one".