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10072249529 is a prime number
BaseRepresentation
bin10010110000101101…
…00101010010111001
3221222221201021211212
421120112211102321
5131111443441104
64343243132505
7504412464656
oct113026452271
927887637755
1010072249529
1142a9582171
121b51214135
13c46965b84
146b79acc2d
153de3d036e
hex2585a54b9

10072249529 has 2 divisors, whose sum is σ = 10072249530. Its totient is φ = 10072249528.

The previous prime is 10072249513. The next prime is 10072249541. The reversal of 10072249529 is 92594227001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10009602304 + 62647225 = 100048^2 + 7915^2 .

It is an emirp because it is prime and its reverse (92594227001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10072249529 - 24 = 10072249513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10072249129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036124764 + 5036124765.

It is an arithmetic number, because the mean of its divisors is an integer number (5036124765).

Almost surely, 210072249529 is an apocalyptic number.

It is an amenable number.

10072249529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072249529 is an equidigital number, since it uses as much as digits as its factorization.

10072249529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10072249529 in words is "ten billion, seventy-two million, two hundred forty-nine thousand, five hundred twenty-nine".