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73993133 is a prime number
BaseRepresentation
bin1000110100100…
…00101110101101
312011020020111102
410122100232231
5122420240013
611201532445
71555634264
oct432205655
9164206442
1073993133
1138849155
1220944125
1312439226
149b815db
156768d58
hex4690bad

73993133 has 2 divisors, whose sum is σ = 73993134. Its totient is φ = 73993132.

The previous prime is 73993109. The next prime is 73993159. The reversal of 73993133 is 33139937.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73222249 + 770884 = 8557^2 + 878^2 .

It is an emirp because it is prime and its reverse (33139937) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73993133 - 212 = 73989037 is a prime.

It is a super-3 number, since 3×739931333 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73993033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36996566 + 36996567.

It is an arithmetic number, because the mean of its divisors is an integer number (36996567).

Almost surely, 273993133 is an apocalyptic number.

It is an amenable number.

73993133 is a deficient number, since it is larger than the sum of its proper divisors (1).

73993133 is an equidigital number, since it uses as much as digits as its factorization.

73993133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45927, while the sum is 38.

The square root of 73993133 is about 8601.9261215149. The cubic root of 73993133 is about 419.8206585032.

The spelling of 73993133 in words is "seventy-three million, nine hundred ninety-three thousand, one hundred thirty-three".