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2064416441 is a prime number
BaseRepresentation
bin111101100001100…
…0111111010111001
312022212120012222012
41323003013322321
513211442311231
6540503335305
7102105151553
oct17303077271
95285505865
102064416441
1196a34469a
12497451535
1326b90c5b9
141582664d3
15c1388e2b
hex7b0c7eb9

2064416441 has 2 divisors, whose sum is σ = 2064416442. Its totient is φ = 2064416440.

The previous prime is 2064416429. The next prime is 2064416447. The reversal of 2064416441 is 1446144602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1544804416 + 519612025 = 39304^2 + 22795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2064416441 is a prime.

It is a super-2 number, since 2×20644164412 = 8523630483742212962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2064416398 and 2064416407.

It is not a weakly prime, because it can be changed into another prime (2064416447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1032208220 + 1032208221.

It is an arithmetic number, because the mean of its divisors is an integer number (1032208221).

Almost surely, 22064416441 is an apocalyptic number.

It is an amenable number.

2064416441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2064416441 is an equidigital number, since it uses as much as digits as its factorization.

2064416441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2064416441 is about 45435.8497334429. The cubic root of 2064416441 is about 1273.3049762895.

The spelling of 2064416441 in words is "two billion, sixty-four million, four hundred sixteen thousand, four hundred forty-one".