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67446144133 is a prime number
BaseRepresentation
bin111110110100000110…
…100111110010000101
320110002102211010020021
4332310012213302011
52101112203103013
650552340535141
74605243523504
oct766406476205
9213072733207
1067446144133
1126670654395
12110a36b14b1
13648b30ca34
14339b78683b
151b4b2e7a8d
hexfb41a7c85

67446144133 has 2 divisors, whose sum is σ = 67446144134. Its totient is φ = 67446144132.

The previous prime is 67446144109. The next prime is 67446144137. The reversal of 67446144133 is 33144164476.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67061317444 + 384826689 = 258962^2 + 19617^2 .

It is a cyclic number.

It is not a de Polignac number, because 67446144133 - 213 = 67446135941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67446144133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67446144137) 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, 33723072066 + 33723072067.

It is an arithmetic number, because the mean of its divisors is an integer number (33723072067).

Almost surely, 267446144133 is an apocalyptic number.

It is an amenable number.

67446144133 is a deficient number, since it is larger than the sum of its proper divisors (1).

67446144133 is an equidigital number, since it uses as much as digits as its factorization.

67446144133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608, while the sum is 43.

The spelling of 67446144133 in words is "sixty-seven billion, four hundred forty-six million, one hundred forty-four thousand, one hundred thirty-three".