Base | Representation |
---|---|

bin | 10010100111010011… |

… | …00111001101000101 |

3 | 221210110020212210100 |

4 | 21103221213031011 |

5 | 130431244231010 |

6 | 4331344114313 |

7 | 502434043020 |

oct | 112351471505 |

9 | 27713225710 |

10 | 9993352005 |

11 | 4268a942aa |

12 | 1b2a905999 |

13 | c33500550 |

14 | 6ab3121b7 |

15 | 3d74e82c0 |

hex | 253a67345 |

9993352005 has 384 divisors, whose sum is σ = 23985561600. Its totient is φ = 3730987008.

The previous prime is 9993351943. The next prime is 9993352067. The reversal of 9993352005 is 5002533999.

9993352005 = T_{1} + T_{2} + ... +
T_{3913}.

9993352005 is a *`hidden beast`* number, since 9 + 99 + 33 + 520 + 0 + 5 = 666.

9993352005 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

9993352005 is a nontrivial binomial coefficient, being equal to C(3915, 3).

It is an interprime number because it is at equal distance from previous prime (9993351943) and next prime (9993352067).

It is not a de Polignac number, because 9993352005 - 2^{8} = 9993351749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is the 3913-rd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 97022784 + ... + 97022886.

It is an arithmetic number, because the mean of its divisors is an integer number (62462400).

Almost surely, 2^{9993352005} is an apocalyptic number.

9993352005 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9993352005 is an abundant number, since it is smaller than the sum of its proper divisors (13992209595).

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

9993352005 is a wasteful number, since it uses less digits than its factorization.

9993352005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 9993352005 is about 99966.7544986832. The cubic root of 9993352005 is about 2153.9571618278.

The spelling of 9993352005 in words is "nine billion, nine hundred ninety-three million, three hundred fifty-two thousand, five".

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