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67873541161 is a prime number
BaseRepresentation
bin111111001101100101…
…000000110000101001
320111012020001010201211
4333031211000300221
52103001111304121
651103005313121
74621653403126
oct771545006051
9214166033654
1067873541161
112686a932078
12111a28657a1
136528a2459a
1433dc43d74d
151b73abdce1
hexfcd940c29

67873541161 has 2 divisors, whose sum is σ = 67873541162. Its totient is φ = 67873541160.

The previous prime is 67873541137. The next prime is 67873541257. The reversal of 67873541161 is 16114537876.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36890500761 + 30983040400 = 192069^2 + 176020^2 .

It is a cyclic number.

It is not a de Polignac number, because 67873541161 - 29 = 67873540649 is a prime.

It is a super-2 number, since 2×678735411612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67873541111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33936770580 + 33936770581.

It is an arithmetic number, because the mean of its divisors is an integer number (33936770581).

Almost surely, 267873541161 is an apocalyptic number.

It is an amenable number.

67873541161 is a deficient number, since it is larger than the sum of its proper divisors (1).

67873541161 is an equidigital number, since it uses as much as digits as its factorization.

67873541161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 49.

The spelling of 67873541161 in words is "sixty-seven billion, eight hundred seventy-three million, five hundred forty-one thousand, one hundred sixty-one".