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

bin | 10101110111110101000100… |

… | …00000110111000010010001 |

3 | 20022022002201201121021000101 |

4 | 22323322202000313002101 |

5 | 22301013204022240100 |

6 | 250143450133252401 |

7 | 13062643243451344 |

oct | 1273724200670221 |

9 | 208262651537011 |

10 | 48097761915025 |

11 | 14364167770aa9 |

12 | 5489803194101 |

13 | 20ab7a40c3a04 |

14 | bc3d3086645b |

15 | 5861ee67a86a |

hex | 2bbea2037091 |

48097761915025 has 27 divisors (see below), whose sum is σ = 61062378933681. Its totient is φ = 37582202327040.

The previous prime is 48097761915013. The next prime is 48097761915059. The reversal of 48097761915025 is 52051916779084.

The square root of 48097761915025 is 6935255.

It is a perfect power (a square), and thus also a powerful number.

48097761915025 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7067946590721 + 41029815324304 = 2658561^2 + 6405452^2 .

It is not a de Polignac number, because 48097761915025 - 2^{13} = 48097761906833 is a prime.

It is a super-3 number, since 3×48097761915025^{3} (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1491063697 + ... + 1491095953.

Almost surely, 2^{48097761915025} is an apocalyptic number.

48097761915025 is the 6935255-th square number.

48097761915025 is the 3467628-th centered octagonal number.

It is an amenable number.

48097761915025 is a deficient number, since it is larger than the sum of its proper divisors (12964617018656).

48097761915025 is an frugal number, since it uses more digits than its factorization.

48097761915025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64610 (or 32305 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 48097761915025 in words is "forty-eight trillion, ninety-seven billion, seven hundred sixty-one million, nine hundred fifteen thousand, twenty-five".

Divisors: 1 5 25 43 215 1075 1849 9245 32257 46225 161285 806425 1387051 6935255 34676275 59643193 298215965 1040514049 1491079825 5202570245 26012851225 44742104107 223710520535 1118552602675 1923910476601 9619552383005 48097761915025

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