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2116640205 = 3252310212003
BaseRepresentation
bin111111000101001…
…0101110111001101
312110111211110111200
41332022111313031
513313324441310
6550010540113
7103311100461
oct17612256715
95414743450
102116640205
11996874129
124b0a37639
13279695c34
1416117c4a1
15c5c529c0
hex7e295dcd

2116640205 has 48 divisors (see below), whose sum is σ = 3834020736. Its totient is φ = 1078197120.

The previous prime is 2116640137. The next prime is 2116640209. The reversal of 2116640205 is 5020466112.

2116640205 is a `hidden beast` number, since 2 + 1 + 16 + 640 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 2116640205 - 217 = 2116509133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116640209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055734 + ... + 1057736.

It is an arithmetic number, because the mean of its divisors is an integer number (79875432).

Almost surely, 22116640205 is an apocalyptic number.

It is an amenable number.

2116640205 is a deficient number, since it is larger than the sum of its proper divisors (1717380531).

2116640205 is a wasteful number, since it uses less digits than its factorization.

2116640205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2116640205 is about 46006.9582237296. The cubic root of 2116640205 is about 1283.9526669744.

The spelling of 2116640205 in words is "two billion, one hundred sixteen million, six hundred forty thousand, two hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1021 1035 2003 3063 5105 6009 9189 10015 15315 18027 23483 30045 45945 46069 70449 90135 117415 138207 211347 230345 352245 414621 691035 1056735 2045063 2073105 6135189 10225315 18405567 30675945 47036449 92027835 141109347 235182245 423328041 705546735 2116640205