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6477680441 is a prime number
BaseRepresentation
bin1100000100001100…
…11000111100111001
3121201102220021001102
412002012120330321
5101231241233231
62550435101145
7316344242501
oct60206307471
917642807042
106477680441
112824533211
1213094417b5
137c3037a0b
14456434a01
1527da42acb
hex182198f39

6477680441 has 2 divisors, whose sum is σ = 6477680442. Its totient is φ = 6477680440.

The previous prime is 6477680353. The next prime is 6477680491. The reversal of 6477680441 is 1440867746.

6477680441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6412005625 + 65674816 = 80075^2 + 8104^2 .

It is a cyclic number.

It is not a de Polignac number, because 6477680441 - 214 = 6477664057 is a prime.

It is not a weakly prime, because it can be changed into another prime (6477680491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3238840220 + 3238840221.

It is an arithmetic number, because the mean of its divisors is an integer number (3238840221).

Almost surely, 26477680441 is an apocalyptic number.

It is an amenable number.

6477680441 is a deficient number, since it is larger than the sum of its proper divisors (1).

6477680441 is an equidigital number, since it uses as much as digits as its factorization.

6477680441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 47.

The square root of 6477680441 is about 80484.0384237769. The cubic root of 6477680441 is about 1864.1170261255.

The spelling of 6477680441 in words is "six billion, four hundred seventy-seven million, six hundred eighty thousand, four hundred forty-one".