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6857703071977 is a prime number
BaseRepresentation
bin110001111001010111011…
…1101001010000011101001
3220021120221010012001201211
41203302232331022003221
51344324033441300402
622330215120313121
71305311163222562
oct143625675120351
926246833161654
106857703071977
11220437667118a
1292909aa727a1
133a98a8c28834
14199cb3939169
15bd5b80164d7
hex63caef4a0e9

6857703071977 has 2 divisors, whose sum is σ = 6857703071978. Its totient is φ = 6857703071976.

The previous prime is 6857703071971. The next prime is 6857703072007. The reversal of 6857703071977 is 7791703077586.

6857703071977 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6789458824281 + 68244247696 = 2605659^2 + 261236^2 .

It is a cyclic number.

It is not a de Polignac number, because 6857703071977 - 23 = 6857703071969 is a prime.

It is not a weakly prime, because it can be changed into another prime (6857703071971) 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, 3428851535988 + 3428851535989.

It is an arithmetic number, because the mean of its divisors is an integer number (3428851535989).

Almost surely, 26857703071977 is an apocalyptic number.

It is an amenable number.

6857703071977 is a deficient number, since it is larger than the sum of its proper divisors (1).

6857703071977 is an equidigital number, since it uses as much as digits as its factorization.

6857703071977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108909360, while the sum is 67.

The spelling of 6857703071977 in words is "six trillion, eight hundred fifty-seven billion, seven hundred three million, seventy-one thousand, nine hundred seventy-seven".