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9006116163 = 31117103155861
BaseRepresentation
bin10000110001100111…
…00110110101000011
3212020122121002210220
420120303212311003
5121421031204123
64045400154123
7436115503302
oct103063466503
925218532726
109006116163
113901799410
1218b4168943
13b06b12125
14616168439
1537a9d8ce3
hex218ce6d43

9006116163 has 32 divisors (see below), whose sum is σ = 14005135872. Its totient is φ = 5087270400.

The previous prime is 9006116153. The next prime is 9006116237. The reversal of 9006116163 is 3616116009.

It is not a de Polignac number, because 9006116163 - 25 = 9006116131 is a prime.

It is a super-2 number, since 2×90061161632 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9006116143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20148 + ... + 135713.

It is an arithmetic number, because the mean of its divisors is an integer number (437660496).

Almost surely, 29006116163 is an apocalyptic number.

9006116163 is a deficient number, since it is larger than the sum of its proper divisors (4999019709).

9006116163 is a wasteful number, since it uses less digits than its factorization.

9006116163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155995.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9006116163 is about 94900.5593397636. The cubic root of 9006116163 is about 2080.5549064196.

The spelling of 9006116163 in words is "nine billion, six million, one hundred sixteen thousand, one hundred sixty-three".

Divisors: 1 3 11 17 33 51 103 187 309 561 1133 1751 3399 5253 19261 57783 155861 467583 1714471 2649637 5143413 7948911 16053683 29146007 48161049 87438021 176590513 272912611 529771539 818737833 3002038721 9006116163