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6781132801 is a prime number
BaseRepresentation
bin1100101000010111…
…11110000000000001
3122111120220020102201
412110023332000001
5102341432222201
63040515113201
7330020451322
oct62413760001
918446806381
106781132801
11296a855493
121392ba2801
13840b74021
14484866449
1529a4d4801
hex1942fe001

6781132801 has 2 divisors, whose sum is σ = 6781132802. Its totient is φ = 6781132800.

The previous prime is 6781132781. The next prime is 6781132819. The reversal of 6781132801 is 1082311876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6468019776 + 313113025 = 80424^2 + 17695^2 .

It is a cyclic number.

It is not a de Polignac number, because 6781132801 - 215 = 6781100033 is a prime.

It is not a weakly prime, because it can be changed into another prime (6781136801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3390566400 + 3390566401.

It is an arithmetic number, because the mean of its divisors is an integer number (3390566401).

Almost surely, 26781132801 is an apocalyptic number.

It is an amenable number.

6781132801 is a deficient number, since it is larger than the sum of its proper divisors (1).

6781132801 is an equidigital number, since it uses as much as digits as its factorization.

6781132801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 6781132801 is about 82347.6338518600. The cubic root of 6781132801 is about 1892.7826652262.

The spelling of 6781132801 in words is "six billion, seven hundred eighty-one million, one hundred thirty-two thousand, eight hundred one".