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2138364847 is a prime number
BaseRepresentation
bin111111101110100…
…1101101110101111
312112000201012010001
41333131031232233
513334410133342
6552104325131
7103663541563
oct17735155657
95460635101
102138364847
119a8062183
124b81737a7
13281031358
14163dd56a3
15c7ae48b7
hex7f74dbaf

2138364847 has 2 divisors, whose sum is σ = 2138364848. Its totient is φ = 2138364846.

The previous prime is 2138364731. The next prime is 2138364859. The reversal of 2138364847 is 7484638312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2138364847 is a prime.

It is a super-3 number, since 3×21383648473 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2138364797 and 2138364806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2138365847) 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, 1069182423 + 1069182424.

It is an arithmetic number, because the mean of its divisors is an integer number (1069182424).

Almost surely, 22138364847 is an apocalyptic number.

2138364847 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138364847 is an equidigital number, since it uses as much as digits as its factorization.

2138364847 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 774144, while the sum is 46.

The square root of 2138364847 is about 46242.4571903354. The cubic root of 2138364847 is about 1288.3304417443.

The spelling of 2138364847 in words is "two billion, one hundred thirty-eight million, three hundred sixty-four thousand, eight hundred forty-seven".