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172065125993 is a prime number
BaseRepresentation
bin1010000000111111100…
…0010111011001101001
3121110010111220001102012
42200033320113121221
510304342133012433
6211013504445305
715300635303435
oct2401770273151
9543114801365
10172065125993
1166a77306972
1229420319835
13132c1a54627
1484840459c5
154720cc4848
hex280fe17669

172065125993 has 2 divisors, whose sum is σ = 172065125994. Its totient is φ = 172065125992.

The previous prime is 172065125987. The next prime is 172065126029. The reversal of 172065125993 is 399521560271.

172065125993 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., 134944553104 + 37120572889 = 367348^2 + 192667^2 .

It is a cyclic number.

It is not a de Polignac number, because 172065125993 - 24 = 172065125977 is a prime.

It is not a weakly prime, because it can be changed into another prime (172065125963) 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, 86032562996 + 86032562997.

It is an arithmetic number, because the mean of its divisors is an integer number (86032562997).

Almost surely, 2172065125993 is an apocalyptic number.

It is an amenable number.

172065125993 is a deficient number, since it is larger than the sum of its proper divisors (1).

172065125993 is an equidigital number, since it uses as much as digits as its factorization.

172065125993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 172065125993 in words is "one hundred seventy-two billion, sixty-five million, one hundred twenty-five thousand, nine hundred ninety-three".