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3085586401 is a prime number
BaseRepresentation
bin1011011111101010…
…0100111111100001
321222001002000210211
42313322210333201
522304402231101
61230102454121
7136315023502
oct26772447741
97861060724
103085586401
111343807807
12721434341
133a234c591
14213b24ba9
15130d4cc51
hexb7ea4fe1

3085586401 has 2 divisors, whose sum is σ = 3085586402. Its totient is φ = 3085586400.

The previous prime is 3085586351. The next prime is 3085586477. The reversal of 3085586401 is 1046855803.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2642062801 + 443523600 = 51401^2 + 21060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3085586401 is a prime.

It is a super-2 number, since 2×30855864012 = 19041686876072265602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3085586501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1542793200 + 1542793201.

It is an arithmetic number, because the mean of its divisors is an integer number (1542793201).

Almost surely, 23085586401 is an apocalyptic number.

It is an amenable number.

3085586401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3085586401 is an equidigital number, since it uses as much as digits as its factorization.

3085586401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 3085586401 is about 55548.0548804366. The cubic root of 3085586401 is about 1455.8363894130.

The spelling of 3085586401 in words is "three billion, eighty-five million, five hundred eighty-six thousand, four hundred one".