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216468009 = 3231775871
BaseRepresentation
bin11001110011100…
…00101000101001
3120002022201021200
430321300220221
5420403434014
633251354413
75235643032
oct1471605051
9502281250
10216468009
1110121068a
12605b2a09
1335b01ba4
1420a6ba89
151400da09
hexce70a29

216468009 has 12 divisors (see below), whose sum is σ = 322762752. Its totient is φ = 139656600.

The previous prime is 216467981. The next prime is 216468017. The reversal of 216468009 is 900864612.

216468009 is a `hidden beast` number, since 2 + 1 + 646 + 8 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 216468009 - 28 = 216467753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216468079) 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 11 ways as a sum of consecutive naturals, for example, 387657 + ... + 388214.

It is an arithmetic number, because the mean of its divisors is an integer number (26896896).

Almost surely, 2216468009 is an apocalyptic number.

It is an amenable number.

216468009 is a deficient number, since it is larger than the sum of its proper divisors (106294743).

216468009 is a wasteful number, since it uses less digits than its factorization.

216468009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775908 (or 775905 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216468009 is about 14712.8518309674. The cubic root of 216468009 is about 600.4330290679.

The spelling of 216468009 in words is "two hundred sixteen million, four hundred sixty-eight thousand, nine".

Divisors: 1 3 9 31 93 279 775871 2327613 6982839 24052001 72156003 216468009