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

bin | 11011011001011000000… |

… | …000001110101111010001 |

3 | 20122222111122202120010101 |

4 | 123121120000032233101 |

5 | 221321203031143100 |

6 | 4000515421332401 |

7 | 253006241034100 |

oct | 33313000165721 |

9 | 6588448676111 |

10 | 1882672131025 |

11 | 666489378314 |

12 | 264a5b107101 |

13 | 1086c5b5672a |

14 | 6719c3a4037 |

15 | 33e8c90486a |

hex | 1b65800ebd1 |

1882672131025 has 81 divisors (see below), whose sum is σ = 2743298611569. Its totient is φ = 1277967620160.

The previous prime is 1882672131023. The next prime is 1882672131103. The reversal of 1882672131025 is 5201312762881.

It is a happy number.

The square root of 1882672131025 is 1372105.

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

1882672131025 is a nontrivial binomial coefficient, being equal to C(1940450, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 434134714321 + 1448537416704 = 658889^2 + 1203552^2 .

It is not a de Polignac number, because 1882672131025 - 2^{1} = 1882672131023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1882672131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9460663876 + ... + 9460664074.

Almost surely, 2^{1882672131025} is an apocalyptic number.

1882672131025 is the 1940449-th triangular number, the 1372105-th square number and also the 970225-th hexagonal number.

1882672131025 is the 686053-rd centered octagonal number and also the 646817-th centered nonagonal number.

It is an amenable number.

1882672131025 is a deficient number, since it is larger than the sum of its proper divisors (860626480544).

1882672131025 is an frugal number, since it uses more digits than its factorization.

1882672131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 1882672131025 in words is "one trillion, eight hundred eighty-two billion, six hundred seventy-two million, one hundred thirty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 197 199 245 985 995 1225 1379 1393 4925 4975 6895 6965 9653 9751 34475 34825 38809 39203 39601 48265 48755 194045 196015 198005 241325 243775 271663 274421 277207 970225 980075 990025 1358315 1372105 1386035 1901641 1920947 1940449 6791575 6860525 6930175 7722991 7801397 9508205 9604735 9702245 38614955 39006985 47541025 48023675 48511225 54060937 54609779 193074775 195034925 270304685 273048895 378426559 382268453 1351523425 1365244475 1536875209 1892132795 1911342265 7684376045 9460663975 9556711325 10758126463 38421880225 53790632315 75306885241 268953161575 376534426205 1882672131025

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