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

bin | 10010001100011110… |

… | …00010000010001001 |

3 | 221012202202001022121 |

4 | 21012033002002021 |

5 | 130001134431301 |

6 | 4253144051241 |

7 | 464032004011 |

oct | 110617020211 |

9 | 27182661277 |

10 | 9768280201 |

11 | 4162a37549 |

12 | 1a87463b21 |

13 | bc89a8474 |

14 | 689484c41 |

15 | 3c288a3a1 |

hex | 2463c2089 |

9768280201 has 32 divisors (see below), whose sum is σ = 10501577856. Its totient is φ = 9072000000.

The previous prime is 9768280187. The next prime is 9768280229. The reversal of 9768280201 is 1020828679.

It is a 4-Lehmer number, since φ(9768280201) divides (9768280201-1)^{4}.

It is a cyclic number.

It is not a de Polignac number, because 9768280201 - 2^{17} = 9768149129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a deceptive number, since it divides R_{9768280200}.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9768280231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24359601 + ... + 24360001.

It is an arithmetic number, because the mean of its divisors is an integer number (328174308).

Almost surely, 2^{9768280201} is an apocalyptic number.

It is an amenable number.

9768280201 is a deficient number, since it is larger than the sum of its proper divisors (733297655).

9768280201 is a wasteful number, since it uses less digits than its factorization.

9768280201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 9768280201 is about 98834.6103396983. The cubic root of 9768280201 is about 2137.6636365314.

The spelling of 9768280201 in words is "nine billion, seven hundred sixty-eight million, two hundred eighty thousand, two hundred one".

Divisors: 1 37 43 61 251 401 1591 2257 2623 9287 10793 14837 15311 17243 24461 97051 100651 399341 566507 637991 658373 905057 1051823 3724087 4327993 6139711 24359801 38917451 160135741 227169307 264007573 9768280201

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