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2805302993 is a prime number
BaseRepresentation
bin1010011100110101…
…1000011011010001
321020111200011020212
42213031120123101
521221124143433
61142211213505
7126342452633
oct24715303321
97214604225
102805302993
11120a57a729
126635a7295
13359265bcc
141c8804a53
15116435d48
hexa73586d1

2805302993 has 2 divisors, whose sum is σ = 2805302994. Its totient is φ = 2805302992.

The previous prime is 2805302989. The next prime is 2805303041. The reversal of 2805302993 is 3992035082.

2805302993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2797140544 + 8162449 = 52888^2 + 2857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2805302993 - 22 = 2805302989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2805302993.

It is not a weakly prime, because it can be changed into another prime (2805302393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1402651496 + 1402651497.

It is an arithmetic number, because the mean of its divisors is an integer number (1402651497).

Almost surely, 22805302993 is an apocalyptic number.

It is an amenable number.

2805302993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2805302993 is an equidigital number, since it uses as much as digits as its factorization.

2805302993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2805302993 is about 52965.1110921142. Note that the first 3 decimals coincide. The cubic root of 2805302993 is about 1410.3489894490.

The spelling of 2805302993 in words is "two billion, eight hundred five million, three hundred two thousand, nine hundred ninety-three".