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172893109093 is a prime number
BaseRepresentation
bin1010000100000100111…
…0110111101101100101
3121112021012212221200221
42201001032313231211
510313041113442333
6211232003204341
715330311115355
oct2410116675545
9545235787627
10172893109093
116736171a921
12296116766b1
13133c4454463
148521db6b65
15476d827d2d
hex28413b7b65

172893109093 has 2 divisors, whose sum is σ = 172893109094. Its totient is φ = 172893109092.

The previous prime is 172893109069. The next prime is 172893109111. The reversal of 172893109093 is 390901398271.

172893109093 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., 141618247684 + 31274861409 = 376322^2 + 176847^2 .

It is a cyclic number.

It is not a de Polignac number, because 172893109093 - 217 = 172892978021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 172893109093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172893109013) 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, 86446554546 + 86446554547.

It is an arithmetic number, because the mean of its divisors is an integer number (86446554547).

Almost surely, 2172893109093 is an apocalyptic number.

It is an amenable number.

172893109093 is a deficient number, since it is larger than the sum of its proper divisors (1).

172893109093 is an equidigital number, since it uses as much as digits as its factorization.

172893109093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 172893109093 in words is "one hundred seventy-two billion, eight hundred ninety-three million, one hundred nine thousand, ninety-three".