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

bin | 11010100010010011001000… |

… | …11101011111010010011001 |

3 | 21122121111120122102220210121 |

4 | 31101021210131133102121 |

5 | 30122024132422313020 |

6 | 324035014342313241 |

7 | 15201605330522233 |

oct | 1521114435372231 |

9 | 248544518386717 |

10 | 58353111135385 |

11 | 17658462a78740 |

12 | 6665282a28821 |

13 | 26738a060c061 |

14 | 105a43c9b1253 |

15 | 6b2d71d21baa |

hex | 35126475f499 |

58353111135385 has 16 divisors (see below), whose sum is σ = 79710811102080. Its totient is φ = 40593468615040.

The previous prime is 58353111135383. The next prime is 58353111135437.

58353111135385 is nontrivially palindromic in base 10.

58353111135385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58353111135385 - 2^{1} = 58353111135383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58353111135383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23064469540 + ... + 23064472069.

It is an arithmetic number, because the mean of its divisors is an integer number (4981925693880).

Almost surely, 2^{58353111135385} is an apocalyptic number.

58353111135385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58353111135385 is a deficient number, since it is larger than the sum of its proper divisors (21357699966695).

58353111135385 is a wasteful number, since it uses less digits than its factorization.

58353111135385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46128941648.

The product of its digits is 3240000, while the sum is 52.

The spelling of 58353111135385 in words is "fifty-eight trillion, three hundred fifty-three billion, one hundred eleven million, one hundred thirty-five thousand, three hundred eighty-five".

Divisors: 1 5 11 23 55 115 253 1265 46128941609 230644708045 507418357699 1060965657007 2537091788495 5304828285035 11670622227077 58353111135385

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