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27633750013 is a prime number
BaseRepresentation
bin11001101111000110…
…011000111111111101
32122022211202221121201
4121233012120333331
5423043220000023
620410023055501
71665534666562
oct315706307775
978284687551
1027633750013
11107a0593431
1254325a1591
1327b509528c
1414a2092869
15abb01cbad
hex66f198ffd

27633750013 has 2 divisors, whose sum is σ = 27633750014. Its totient is φ = 27633750012.

The previous prime is 27633749987. The next prime is 27633750031. The reversal of 27633750013 is 31005733672.

Together with next prime (27633750031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19280155609 + 8353594404 = 138853^2 + 91398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27633750013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27633750113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13816875006 + 13816875007.

It is an arithmetic number, because the mean of its divisors is an integer number (13816875007).

Almost surely, 227633750013 is an apocalyptic number.

It is an amenable number.

27633750013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27633750013 is an equidigital number, since it uses as much as digits as its factorization.

27633750013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 37.

The spelling of 27633750013 in words is "twenty-seven billion, six hundred thirty-three million, seven hundred fifty thousand, thirteen".