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121816668186 = 23273881105229
BaseRepresentation
bin111000101110011010…
…1101101100000011010
3102122102121112220202100
41301130311231200122
53443440031340221
6131543425544230
711541505411053
oct1613465554032
9378377486670
10121816668186
1147731373894
121b7381a5076
13b644692165
145c7871b72a
15327e702926
hex1c5cd6d81a

121816668186 has 48 divisors (see below), whose sum is σ = 267857913960. Its totient is φ = 40003476480.

The previous prime is 121816668167. The next prime is 121816668199. The reversal of 121816668186 is 681866618121.

It can be written as a sum of positive squares in 4 ways, for example, as 115195754025 + 6620914161 = 339405^2 + 81369^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1105020 + ... + 1210248.

Almost surely, 2121816668186 is an apocalyptic number.

121816668186 is an abundant number, since it is smaller than the sum of its proper divisors (146041245774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121816668186 is a wasteful number, since it uses less digits than its factorization.

121816668186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106191 (or 106188 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 121816668186 in words is "one hundred twenty-one billion, eight hundred sixteen million, six hundred sixty-eight thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 881 1314 1762 2643 5286 7929 15858 64313 105229 128626 192939 210458 315687 385878 578817 631374 947061 1157634 1894122 7681717 15363434 23045151 46090302 69135453 92706749 138270906 185413498 278120247 556240494 834360741 1668721482 6767592677 13535185354 20302778031 40605556062 60908334093 121816668186