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216168993 = 345414933
BaseRepresentation
bin11001110001001…
…11101000100001
3120001202112010000
430320213220201
5420314401433
633241130213
75233256205
oct1470475041
9501675100
10216168993
11101026a67
1260489969
1335a28a61
14209d0b05
1513ea0113
hexce27a21

216168993 has 20 divisors (see below), whose sum is σ = 323581588. Its totient is φ = 143817120.

The previous prime is 216168989. The next prime is 216169007. The reversal of 216168993 is 399861612.

It is a happy number.

216168993 is a `hidden beast` number, since 21 + 616 + 8 + 9 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 139641489 = 8748^2 + 11817^2 .

It is not a de Polignac number, because 216168993 - 22 = 216168989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216168493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41355 + ... + 46287.

Almost surely, 2216168993 is an apocalyptic number.

It is an amenable number.

216168993 is a deficient number, since it is larger than the sum of its proper divisors (107412595).

216168993 is an equidigital number, since it uses as much as digits as its factorization.

216168993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5477 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 216168993 is about 14702.6865912322. The cubic root of 216168993 is about 600.1564342104.

The spelling of 216168993 in words is "two hundred sixteen million, one hundred sixty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 81 541 1623 4869 4933 14607 14799 43821 44397 133191 399573 2668753 8006259 24018777 72056331 216168993