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3201564673 is a prime number
BaseRepresentation
bin1011111011010100…
…0000000000000001
322021010022100002101
42332311000000001
523024100032143
61245404350401
7142223564536
oct27665000001
98233270071
103201564673
1113a3221a1a
12754245401
133c0398a88
142252b4d8d
1513b10bb4d
hexbed40001

3201564673 has 2 divisors, whose sum is σ = 3201564674. Its totient is φ = 3201564672.

The previous prime is 3201564671. The next prime is 3201564679. The reversal of 3201564673 is 3764651023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2995153984 + 206410689 = 54728^2 + 14367^2 .

It is a cyclic number.

It is not a de Polignac number, because 3201564673 - 21 = 3201564671 is a prime.

Together with 3201564671, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3201564671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600782336 + 1600782337.

It is an arithmetic number, because the mean of its divisors is an integer number (1600782337).

It is a Proth number, since it is equal to 12213 ⋅ 218 + 1 and 12213 < 218.

Almost surely, 23201564673 is an apocalyptic number.

It is an amenable number.

3201564673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3201564673 is an equidigital number, since it uses as much as digits as its factorization.

3201564673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 3201564673 is about 56582.3706908786. The cubic root of 3201564673 is about 1473.8527396798.

The spelling of 3201564673 in words is "three billion, two hundred one million, five hundred sixty-four thousand, six hundred seventy-three".