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193006993 is a prime number
BaseRepresentation
bin10111000000100…
…00110110010001
3111110011202211011
423200100312101
5343402210433
631052450521
74532350414
oct1340206621
9443152734
10193006993
1199a47013
1254779a41
1330ca932a
141b8c1b7b
1511e273cd
hexb810d91

193006993 has 2 divisors, whose sum is σ = 193006994. Its totient is φ = 193006992.

The previous prime is 193006987. The next prime is 193006999. The reversal of 193006993 is 399600391.

It is a balanced prime because it is at equal distance from previous prime (193006987) and next prime (193006999).

It can be written as a sum of positive squares in only one way, i.e., 175509504 + 17497489 = 13248^2 + 4183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-193006993 is a prime.

193006993 is a modest number, since divided by 6993 gives 193 as remainder.

It is not a weakly prime, because it can be changed into another prime (193006999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96503496 + 96503497.

It is an arithmetic number, because the mean of its divisors is an integer number (96503497).

Almost surely, 2193006993 is an apocalyptic number.

It is an amenable number.

193006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

193006993 is an equidigital number, since it uses as much as digits as its factorization.

193006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 40.

The square root of 193006993 is about 13892.6956707473. The cubic root of 193006993 is about 577.9066361413.

The spelling of 193006993 in words is "one hundred ninety-three million, six thousand, nine hundred ninety-three".