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

bin | 11101000110101001010010… |

… | …10001000000000000000000 |

3 | 22101121100012001002012220101 |

4 | 32203110221101000000000 |

5 | 31342034000000000000 |

6 | 344041105532252144 |

7 | 16323563443101541 |

oct | 1643245121000000 |

9 | 271540161065811 |

10 | 64000000000000 |

11 | 1943527a583779 |

12 | 7217766611054 |

13 | 2993235676c0c |

14 | 11b388ba764c8 |

15 | 75ebc0a5ce6a |

hex | 3a3529440000 |

64000000000000 has 247 divisors, whose sum is σ = 159999694693147. Its totient is φ = 25600000000000.

The previous prime is 63999999999997. The next prime is 64000000000007. The reversal of 64000000000000 is 46.

Adding to 64000000000000 its reverse (46), we get a palindrome (64000000000046).

The square root of 64000000000000 is 8000000.

The cubic root of 64000000000000 is 40000.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 6 ways, for example, as 36210739511296 + 27789260488704 = 6017536^2 + 5271552^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=2000.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (64000000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 12799999999998 + ... + 12800000000002.

Almost surely, 2^{64000000000000} is an apocalyptic number.

64000000000000 is the 8000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64000000000000

64000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (95999694693147).

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

64000000000000 is an frugal number, since it uses more digits than its factorization.

64000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The spelling of 64000000000000 in words is "sixty-four trillion", and thus it is an aban number and an eban number.

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