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217072990733 is a prime number
BaseRepresentation
bin1100101000101010001…
…1101111101000001101
3202202022012010110212112
43022022203233220031
512024031141200413
6243415535313405
721453161656124
oct3121243575015
9682265113775
10217072990733
11840730538a5
12360a137b865
131761548a461
14a713760abb
1559a72682a8
hex328a8efa0d

217072990733 has 2 divisors, whose sum is σ = 217072990734. Its totient is φ = 217072990732.

The previous prime is 217072990703. The next prime is 217072990753. The reversal of 217072990733 is 337099270712.

217072990733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216115273924 + 957716809 = 464882^2 + 30947^2 .

It is a cyclic number.

It is not a de Polignac number, because 217072990733 - 216 = 217072925197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217072990703) 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, 108536495366 + 108536495367.

It is an arithmetic number, because the mean of its divisors is an integer number (108536495367).

Almost surely, 2217072990733 is an apocalyptic number.

It is an amenable number.

217072990733 is a deficient number, since it is larger than the sum of its proper divisors (1).

217072990733 is an equidigital number, since it uses as much as digits as its factorization.

217072990733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1000188, while the sum is 50.

The spelling of 217072990733 in words is "two hundred seventeen billion, seventy-two million, nine hundred ninety thousand, seven hundred thirty-three".