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6461881681 is a prime number
BaseRepresentation
bin1100000010010100…
…00111110101010001
3121200100011121020011
412001022013311101
5101213220203211
62545112314521
7316063042123
oct60112076521
917610147204
106461881681
112816622392
1213040a2a41
137bc995938
144542c1213
1527c471921
hex181287d51

6461881681 has 2 divisors, whose sum is σ = 6461881682. Its totient is φ = 6461881680.

The previous prime is 6461881597. The next prime is 6461881691. The reversal of 6461881681 is 1861881646.

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., 3996262656 + 2465619025 = 63216^2 + 49655^2 .

It is a cyclic number.

It is not a de Polignac number, because 6461881681 - 213 = 6461873489 is a prime.

It is a super-2 number, since 2×64618816812 = 83511829718486771522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6461881691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3230940840 + 3230940841.

It is an arithmetic number, because the mean of its divisors is an integer number (3230940841).

Almost surely, 26461881681 is an apocalyptic number.

It is an amenable number.

6461881681 is a deficient number, since it is larger than the sum of its proper divisors (1).

6461881681 is an equidigital number, since it uses as much as digits as its factorization.

6461881681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 442368, while the sum is 49.

The square root of 6461881681 is about 80385.8301008331. The cubic root of 6461881681 is about 1862.6002942613.

The spelling of 6461881681 in words is "six billion, four hundred sixty-one million, eight hundred eighty-one thousand, six hundred eighty-one".