Search a number
-
+
9993352006 = 211289463987
BaseRepresentation
bin10010100111010011…
…00111001101000110
3221210110020212210101
421103221213031012
5130431244231011
64331344114314
7502434043021
oct112351471506
927713225711
109993352006
114268a94300
121b2a90599a
13c33500551
146ab3121b8
153d74e82c1
hex253a67346

9993352006 has 24 divisors (see below), whose sum is σ = 16661809080. Its totient is φ = 4491384480.

The previous prime is 9993351943. The next prime is 9993352067. The reversal of 9993352006 is 6002533999.

It is a happy number.

9993352006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 210456 + ... + 253531.

It is an arithmetic number, because the mean of its divisors is an integer number (694242045).

Almost surely, 29993352006 is an apocalyptic number.

9993352006 is a deficient number, since it is larger than the sum of its proper divisors (6668457074).

9993352006 is a wasteful number, since it uses less digits than its factorization.

9993352006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464100 (or 464089 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 46.

The square root of 9993352006 is about 99966.7545036849. The cubic root of 9993352006 is about 2153.9571618997.

The spelling of 9993352006 in words is "nine billion, nine hundred ninety-three million, three hundred fifty-two thousand, six".

Divisors: 1 2 11 22 89 121 178 242 979 1958 10769 21538 463987 927974 5103857 10207714 41294843 56142427 82589686 112284854 454243273 908486546 4996676003 9993352006