Search a number
-
+
9002981163 = 31132254691
BaseRepresentation
bin10000110001001111…
…01001011100101011
3212020102200211101210
420120213221130223
5121414230344123
64045205044203
7436050035331
oct103047513453
925212624353
109002981163
1138aaa48000
1218b30b6663
13b062851b7
1461598db51
1537a5b9e93
hex2189e972b

9002981163 has 16 divisors (see below), whose sum is σ = 13203476352. Its totient is φ = 5456349800.

The previous prime is 9002981129. The next prime is 9002981171. The reversal of 9002981163 is 3611892009.

9002981163 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 not a de Polignac number, because 9002981163 - 216 = 9002915627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9002981123) 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 in 15 ways as a sum of consecutive naturals, for example, 1123353 + ... + 1131338.

It is an arithmetic number, because the mean of its divisors is an integer number (825217272).

Almost surely, 29002981163 is an apocalyptic number.

9002981163 is a deficient number, since it is larger than the sum of its proper divisors (4200495189).

9002981163 is a wasteful number, since it uses less digits than its factorization.

9002981163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254727 (or 2254705 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9002981163 is about 94884.0406127395. The cubic root of 9002981163 is about 2080.3134669176.

The spelling of 9002981163 in words is "nine billion, two million, nine hundred eighty-one thousand, one hundred sixty-three".

Divisors: 1 3 11 33 121 363 1331 3993 2254691 6764073 24801601 74404803 272817611 818452833 3000993721 9002981163