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8845135337 is a prime number
BaseRepresentation
bin10000011110011011…
…00000110111101001
3211211102200102122002
420033031200313221
5121103323312322
64021405540345
7432122260403
oct101715406751
924742612562
108845135337
113829937105
12186a2746b5
13aac66a0bc
145dca21b73
1536b7dac92
hex20f360de9

8845135337 has 2 divisors, whose sum is σ = 8845135338. Its totient is φ = 8845135336.

The previous prime is 8845135291. The next prime is 8845135361. The reversal of 8845135337 is 7335315488.

8845135337 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., 6279611536 + 2565523801 = 79244^2 + 50651^2 .

It is a cyclic number.

It is not a de Polignac number, because 8845135337 - 216 = 8845069801 is a prime.

It is a super-2 number, since 2×88451353372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8845135291 and 8845135300.

It is not a weakly prime, because it can be changed into another prime (8845132337) 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, 4422567668 + 4422567669.

It is an arithmetic number, because the mean of its divisors is an integer number (4422567669).

Almost surely, 28845135337 is an apocalyptic number.

It is an amenable number.

8845135337 is a deficient number, since it is larger than the sum of its proper divisors (1).

8845135337 is an equidigital number, since it uses as much as digits as its factorization.

8845135337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 47.

The square root of 8845135337 is about 94048.5796649795. The cubic root of 8845135337 is about 2068.0839339077.

The spelling of 8845135337 in words is "eight billion, eight hundred forty-five million, one hundred thirty-five thousand, three hundred thirty-seven".