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189493200353 is a prime number
BaseRepresentation
bin1011000001111010101…
…1001100010111100001
3200010010002212221221202
42300132223030113201
511101040224402403
6223015120530545
716455550425032
oct2603653142741
9603102787852
10189493200353
11733aaa76106
1230884a80a55
1314b3b638972
149258916a89
154de0d58688
hex2c1eacc5e1

189493200353 has 2 divisors, whose sum is σ = 189493200354. Its totient is φ = 189493200352.

The previous prime is 189493200319. The next prime is 189493200383. The reversal of 189493200353 is 353002394981.

189493200353 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., 116156227489 + 73336972864 = 340817^2 + 270808^2 .

It is an emirp because it is prime and its reverse (353002394981) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 189493200353 - 214 = 189493183969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 189493200298 and 189493200307.

It is not a weakly prime, because it can be changed into another prime (189493200383) 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, 94746600176 + 94746600177.

It is an arithmetic number, because the mean of its divisors is an integer number (94746600177).

Almost surely, 2189493200353 is an apocalyptic number.

It is an amenable number.

189493200353 is a deficient number, since it is larger than the sum of its proper divisors (1).

189493200353 is an equidigital number, since it uses as much as digits as its factorization.

189493200353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 189493200353 in words is "one hundred eighty-nine billion, four hundred ninety-three million, two hundred thousand, three hundred fifty-three".