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36224033441 is a prime number
BaseRepresentation
bin100001101111000111…
…101110001010100001
310110111111220120011012
4201233013232022201
51043141323032231
624350250430305
72421444126641
oct415707561241
9113444816135
1036224033441
11143a9582522
12702b432395
1335539b141b
141a78cd4521
15e20266e2b
hex86f1ee2a1

36224033441 has 2 divisors, whose sum is σ = 36224033442. Its totient is φ = 36224033440.

The previous prime is 36224033401. The next prime is 36224033459. The reversal of 36224033441 is 14433042263.

36224033441 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., 23617235041 + 12606798400 = 153679^2 + 112280^2 .

It is a cyclic number.

It is not a de Polignac number, because 36224033441 - 234 = 19044164257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36224033398 and 36224033407.

It is not a weakly prime, because it can be changed into another prime (36224033401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18112016720 + 18112016721.

It is an arithmetic number, because the mean of its divisors is an integer number (18112016721).

Almost surely, 236224033441 is an apocalyptic number.

It is an amenable number.

36224033441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36224033441 is an equidigital number, since it uses as much as digits as its factorization.

36224033441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 36224033441 in words is "thirty-six billion, two hundred twenty-four million, thirty-three thousand, four hundred forty-one".