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

bin | 10010101000000101… |

… | …00010111010000000 |

3 | 221210220112221111020 |

4 | 21110002202322000 |

5 | 130434432404000 |

6 | 4332140145440 |

7 | 502543434264 |

oct | 112402427200 |

9 | 27726487436 |

10 | 9999888000 |

11 | 4271748953 |

12 | 1b30b38280 |

13 | c3497b4bb |

14 | 6ac1340a4 |

15 | 3d7d89ba0 |

hex | 2540a2e80 |

9999888000 has 256 divisors, whose sum is σ = 33361735680. Its totient is φ = 2649600000.

The previous prime is 9999887959. The next prime is 9999888007. The reversal of 9999888000 is 8889999.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9999888007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8687425 + ... + 8688575.

It is an arithmetic number, because the mean of its divisors is an integer number (130319280).

Almost surely, 2^{9999888000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680867840).

9999888000 is an abundant number, since it is smaller than the sum of its proper divisors (23361847680).

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

9999888000 is a wasteful number, since it uses less digits than its factorization.

9999888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 60.

The square root of 9999888000 is about 99999.4399984320. The cubic root of 9999888000 is about 2154.4266467790.

The spelling of 9999888000 in words is "nine billion, nine hundred ninety-nine million, eight hundred eighty-eight thousand".

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