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1006001660006 = 27294357624107
BaseRepresentation
bin11101010001110100101…
…11110010000001100110
310120011122222121100020222
432220322113302001212
5112440242411110011
62050052322524342
7132452442010040
oct16507227620146
93504588540228
101006001660006
1135870878a992
12142b77b066b2
1373b337c6055
1436995568a90
151b27d5caddb
hexea3a5f2066

1006001660006 has 32 divisors (see below), whose sum is σ = 1825531741440. Its totient is φ = 406595691936.

The previous prime is 1006001659907. The next prime is 1006001660017. The reversal of 1006001660006 is 6000661006001.

1006001660006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28794596 + ... + 28829511.

It is an arithmetic number, because the mean of its divisors is an integer number (57047866920).

Almost surely, 21006001660006 is an apocalyptic number.

1006001660006 is a deficient number, since it is larger than the sum of its proper divisors (819530081434).

1006001660006 is a wasteful number, since it uses less digits than its factorization.

1006001660006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57624188.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 1006001660006 its reverse (6000661006001), we get a palindrome (7006662666007).

The spelling of 1006001660006 in words is "one trillion, six billion, one million, six hundred sixty thousand, six".

Divisors: 1 2 7 14 29 43 58 86 203 301 406 602 1247 2494 8729 17458 57624107 115248214 403368749 806737498 1671099103 2477836601 3342198206 4955673202 11697693721 17344856207 23395387442 34689712414 71857261429 143714522858 503000830003 1006001660006