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189013845257 is a prime number
BaseRepresentation
bin1011000000001000011…
…0100110010100001001
3200001212200220012101022
42300002012212110021
511044100021022012
6222455354402225
716440640114226
oct2600206462411
9601780805338
10189013845257
117318442a576
1230770430375
1314a932316b3
149210db694d
154db3c1c472
hex2c021a6509

189013845257 has 2 divisors, whose sum is σ = 189013845258. Its totient is φ = 189013845256.

The previous prime is 189013845173. The next prime is 189013845301. The reversal of 189013845257 is 752548310981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126295655161 + 62718190096 = 355381^2 + 250436^2 .

It is a cyclic number.

It is not a de Polignac number, because 189013845257 - 232 = 184718877961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 189013845199 and 189013845208.

It is not a weakly prime, because it can be changed into another prime (189013145257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94506922628 + 94506922629.

It is an arithmetic number, because the mean of its divisors is an integer number (94506922629).

Almost surely, 2189013845257 is an apocalyptic number.

It is an amenable number.

189013845257 is a deficient number, since it is larger than the sum of its proper divisors (1).

189013845257 is an equidigital number, since it uses as much as digits as its factorization.

189013845257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 189013845257 in words is "one hundred eighty-nine billion, thirteen million, eight hundred forty-five thousand, two hundred fifty-seven".