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165016844513 is a prime number
BaseRepresentation
bin1001100110101111000…
…1010011100011100001
3120202221022022020212222
42121223301103203201
510200423303011023
6203450243400425
714631162015023
oct2315361234341
9522838266788
10165016844513
1163a8a785754
1227b93983115
131273a745581
147db5d1c013
15445c11ecc8
hex266bc538e1

165016844513 has 2 divisors, whose sum is σ = 165016844514. Its totient is φ = 165016844512.

The previous prime is 165016844507. The next prime is 165016844563. The reversal of 165016844513 is 315448610561.

It is a happy number.

165016844513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125991632209 + 39025212304 = 354953^2 + 197548^2 .

It is a cyclic number.

It is not a de Polignac number, because 165016844513 - 26 = 165016844449 is a prime.

It is not a weakly prime, because it can be changed into another prime (165016844563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82508422256 + 82508422257.

It is an arithmetic number, because the mean of its divisors is an integer number (82508422257).

Almost surely, 2165016844513 is an apocalyptic number.

It is an amenable number.

165016844513 is a deficient number, since it is larger than the sum of its proper divisors (1).

165016844513 is an equidigital number, since it uses as much as digits as its factorization.

165016844513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 165016844513 in words is "one hundred sixty-five billion, sixteen million, eight hundred forty-four thousand, five hundred thirteen".