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67658914969 is a prime number
BaseRepresentation
bin111111000000110010…
…010001110010011001
320110122021011222221121
4333000302101302121
52102031140234334
651025421205241
74613436200602
oct770062216231
9213567158847
1067658914969
112676a76a258
1211142a00821
1364c3418b39
1433bbb30da9
151b5ed25db4
hexfc0c91c99

67658914969 has 2 divisors, whose sum is σ = 67658914970. Its totient is φ = 67658914968.

The previous prime is 67658914949. The next prime is 67658914991. The reversal of 67658914969 is 96941985676.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47434662025 + 20224252944 = 217795^2 + 142212^2 .

It is a cyclic number.

It is not a de Polignac number, because 67658914969 - 29 = 67658914457 is a prime.

It is a super-2 number, since 2×676589149692 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67658914898 and 67658914907.

It is not a weakly prime, because it can be changed into another prime (67658914909) 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, 33829457484 + 33829457485.

It is an arithmetic number, because the mean of its divisors is an integer number (33829457485).

Almost surely, 267658914969 is an apocalyptic number.

It is an amenable number.

67658914969 is a deficient number, since it is larger than the sum of its proper divisors (1).

67658914969 is an equidigital number, since it uses as much as digits as its factorization.

67658914969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176359680, while the sum is 70.

The spelling of 67658914969 in words is "sixty-seven billion, six hundred fifty-eight million, nine hundred fourteen thousand, nine hundred sixty-nine".