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164878915052737 is a prime number
BaseRepresentation
bin100101011111010011011101…
…001010011010010011000001
3210121210021022002010112022201
4211133103131022122103001
5133102334004223141422
61342400154455033201
746505052135030154
oct4537233512322301
9717707262115281
10164878915052737
1148598834187796
12165aa77b06b801
137100026b90cb2
142ca0279847c9b
15140dd2b72c727
hex95f4dd29a4c1

164878915052737 has 2 divisors, whose sum is σ = 164878915052738. Its totient is φ = 164878915052736.

The previous prime is 164878915052713. The next prime is 164878915052741. The reversal of 164878915052737 is 737250519878461.

164878915052737 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., 112114976926096 + 52763938126641 = 10588436^2 + 7263879^2 .

It is a cyclic number.

It is not a de Polignac number, because 164878915052737 - 227 = 164878780835009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164878915052737.

It is not a weakly prime, because it can be changed into another prime (164878915052777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82439457526368 + 82439457526369.

It is an arithmetic number, because the mean of its divisors is an integer number (82439457526369).

It is a 1-persistent number, because it is pandigital, but 2⋅164878915052737 = 329757830105474 is not.

Almost surely, 2164878915052737 is an apocalyptic number.

It is an amenable number.

164878915052737 is a deficient number, since it is larger than the sum of its proper divisors (1).

164878915052737 is an equidigital number, since it uses as much as digits as its factorization.

164878915052737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 711244800, while the sum is 73.

The spelling of 164878915052737 in words is "one hundred sixty-four trillion, eight hundred seventy-eight billion, nine hundred fifteen million, fifty-two thousand, seven hundred thirty-seven".