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67873540081 is a prime number
BaseRepresentation
bin111111001101100101…
…000000011111110001
320111012020001002020211
4333031211000133301
52103001111240311
651103005304121
74621653400024
oct771545003761
9214166032224
1067873540081
112686a931286
12111a2865041
136528a23c49
1433dc43d1bb
151b73abd821
hexfcd9407f1

67873540081 has 2 divisors, whose sum is σ = 67873540082. Its totient is φ = 67873540080.

The previous prime is 67873540079. The next prime is 67873540087. The reversal of 67873540081 is 18004537876.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66288226225 + 1585313856 = 257465^2 + 39816^2 .

It is a cyclic number.

It is not a de Polignac number, because 67873540081 - 21 = 67873540079 is a prime.

It is a super-2 number, since 2×678735400812 (a number of 22 digits) contains 22 as substring.

Together with 67873540079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (67873540087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33936770040 + 33936770041.

It is an arithmetic number, because the mean of its divisors is an integer number (33936770041).

Almost surely, 267873540081 is an apocalyptic number.

It is an amenable number.

67873540081 is a deficient number, since it is larger than the sum of its proper divisors (1).

67873540081 is an equidigital number, since it uses as much as digits as its factorization.

67873540081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 67873540081 in words is "sixty-seven billion, eight hundred seventy-three million, five hundred forty thousand, eighty-one".