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1680680801 is a prime number
BaseRepresentation
bin110010000101101…
…0010011101100001
311100010111102122002
41210023102131201
511420223241201
6434434453345
756435360012
oct14413223541
94303442562
101680680801
117927783a8
123aaa34255
1320a273ca7
1411d2d7009
159c83976b
hex642d2761

1680680801 has 2 divisors, whose sum is σ = 1680680802. Its totient is φ = 1680680800.

The previous prime is 1680680797. The next prime is 1680680803. The reversal of 1680680801 is 1080860861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1240730176 + 439950625 = 35224^2 + 20975^2 .

It is an emirp because it is prime and its reverse (1080860861) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1080890891 and 1980980801.

It is a cyclic number.

It is not a de Polignac number, because 1680680801 - 22 = 1680680797 is a prime.

Together with 1680680803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1680680803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840340400 + 840340401.

It is an arithmetic number, because the mean of its divisors is an integer number (840340401).

Almost surely, 21680680801 is an apocalyptic number.

It is an amenable number.

1680680801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680680801 is an equidigital number, since it uses as much as digits as its factorization.

1680680801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1680680801 is about 40996.1071444595. The cubic root of 1680680801 is about 1188.9449493429.

The spelling of 1680680801 in words is "one billion, six hundred eighty million, six hundred eighty thousand, eight hundred one".