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198400319251993 is a prime number
BaseRepresentation
bin101101000111000110101100…
…100011010110011000011001
3222000110212220101002021000001
4231013012230203112120121
5202001042323212030433
61541543503131213001
756534643602312335
oct5507065443263031
9860425811067001
10198400319251993
1158242114a28691
121a3033895a7161
1386920ba544761
1436dc8ab8bc7c5
1517e0caaa1d57d
hexb471ac8d6619

198400319251993 has 2 divisors, whose sum is σ = 198400319251994. Its totient is φ = 198400319251992.

The previous prime is 198400319251987. The next prime is 198400319251997. The reversal of 198400319251993 is 399152913004891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186883472504089 + 11516846747904 = 13670533^2 + 3393648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-198400319251993 is a prime.

It is not a weakly prime, because it can be changed into another prime (198400319251997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99200159625996 + 99200159625997.

It is an arithmetic number, because the mean of its divisors is an integer number (99200159625997).

Almost surely, 2198400319251993 is an apocalyptic number.

It is an amenable number.

198400319251993 is a deficient number, since it is larger than the sum of its proper divisors (1).

198400319251993 is an equidigital number, since it uses as much as digits as its factorization.

198400319251993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18895680, while the sum is 64.

The spelling of 198400319251993 in words is "one hundred ninety-eight trillion, four hundred billion, three hundred nineteen million, two hundred fifty-one thousand, nine hundred ninety-three".