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19291820993 is a prime number
BaseRepresentation
bin10001111101111000…
…011101001111000001
31211210110222001021122
4101331320131033001
5304002201232433
612510150402025
71252032526034
oct217570351701
954713861248
1019291820993
1181aa803715
1238a4960315
131a85a637c3
14d1021d01b
1577d9d0198
hex47de1d3c1

19291820993 has 2 divisors, whose sum is σ = 19291820994. Its totient is φ = 19291820992.

The previous prime is 19291820923. The next prime is 19291821007. The reversal of 19291820993 is 39902819291.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15401554609 + 3890266384 = 124103^2 + 62372^2 .

It is a cyclic number.

It is not a de Polignac number, because 19291820993 - 218 = 19291558849 is a prime.

It is a super-3 number, since 3×192918209933 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (19291820923) 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, 9645910496 + 9645910497.

It is an arithmetic number, because the mean of its divisors is an integer number (9645910497).

Almost surely, 219291820993 is an apocalyptic number.

It is an amenable number.

19291820993 is a deficient number, since it is larger than the sum of its proper divisors (1).

19291820993 is an equidigital number, since it uses as much as digits as its factorization.

19291820993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 53.

The spelling of 19291820993 in words is "nineteen billion, two hundred ninety-one million, eight hundred twenty thousand, nine hundred ninety-three".