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10511644049 is a prime number
BaseRepresentation
bin10011100101000101…
…01111010110010001
31000010120111211210222
421302202233112101
5133011440102144
64455021002425
7521326333364
oct116242572621
930116454728
1010511644049
114504604835
1220543b3415
13cb69bb52a
1471a0aa0db
15417c762ee
hex2728af591

10511644049 has 2 divisors, whose sum is σ = 10511644050. Its totient is φ = 10511644048.

The previous prime is 10511644027. The next prime is 10511644057. The reversal of 10511644049 is 94044611501.

It is a happy number.

10511644049 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., 7993611649 + 2518032400 = 89407^2 + 50180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10511644049 - 212 = 10511639953 is a prime.

It is a super-2 number, since 2×105116440492 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10511944049) 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, 5255822024 + 5255822025.

It is an arithmetic number, because the mean of its divisors is an integer number (5255822025).

Almost surely, 210511644049 is an apocalyptic number.

It is an amenable number.

10511644049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10511644049 is an equidigital number, since it uses as much as digits as its factorization.

10511644049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 10511644049 in words is "ten billion, five hundred eleven million, six hundred forty-four thousand, forty-nine".