Search a number
-
+
9993303377 is a prime number
BaseRepresentation
bin10010100111010010…
…11011010101010001
3221210110011102002022
421103221123111101
5130431241202002
64331343101225
7502433451161
oct112351332521
927713142068
109993303377
114268a60812
121b2a8a1815
13c334b4385
146ab2dc5a1
153d74d8ba2
hex253a5b551

9993303377 has 2 divisors, whose sum is σ = 9993303378. Its totient is φ = 9993303376.

The previous prime is 9993303361. The next prime is 9993303451. The reversal of 9993303377 is 7733033999.

9993303377 is digitally balanced in base 2 and base 3, because in such bases 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., 8861586496 + 1131716881 = 94136^2 + 33641^2 .

It is a cyclic number.

It is not a de Polignac number, because 9993303377 - 24 = 9993303361 is a prime.

It is a super-2 number, since 2×99933033772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9993303347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996651688 + 4996651689.

It is an arithmetic number, because the mean of its divisors is an integer number (4996651689).

Almost surely, 29993303377 is an apocalyptic number.

It is an amenable number.

9993303377 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993303377 is an equidigital number, since it uses as much as digits as its factorization.

9993303377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2893401, while the sum is 53.

The square root of 9993303377 is about 99966.5112775273. The cubic root of 9993303377 is about 2153.9536680786.

The spelling of 9993303377 in words is "nine billion, nine hundred ninety-three million, three hundred three thousand, three hundred seventy-seven".