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

bin | 10010100111101110… |

… | …11100111100100000 |

3 | 221210201002012110112 |

4 | 21103313130330200 |

5 | 130433211330000 |

6 | 4331553550452 |

7 | 502506633200 |

oct | 112367347440 |

9 | 27721065415 |

10 | 9996980000 |

11 | 4270042047 |

12 | 1b2bb75428 |

13 | c341a09a7 |

14 | 6ab9b8400 |

15 | 3d79b3235 |

hex | 253ddcf20 |

9996980000 has 270 divisors, whose sum is σ = 28895495013. Its totient is φ = 3393600000.

The previous prime is 9996979997. The next prime is 9996980011. The reversal of 9996980000 is 896999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 885895696 + 9111084304 = 29764^2 + 95452^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=70700.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 98979950 + ... + 98980050.

Almost surely, 2^{9996980000} 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 9996980000

9996980000 is an abundant number, since it is smaller than the sum of its proper divisors (18898515013).

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

9996980000 is an equidigital number, since it uses as much as digits as its factorization.

9996980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 50.

The square root of 9996980000 is about 99984.8988597778. The cubic root of 9996980000 is about 2154.2177884369.

Multiplying 9996980000 by its sum of digits (50), we get a square (499849000000 = 707000^{2}).

9996980000 divided by its sum of digits (50) gives a square (199939600 = 14140^{2}).

The spelling of 9996980000 in words is "nine billion, nine hundred ninety-six million, nine hundred eighty thousand".

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