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

bin | 100000000000000010000000… |

… | …0000000000000000000000000 |

3 | 1100220122011012102010100122112 |

4 | 1000000010000000000000000 |

5 | 243343224022022143302 |

6 | 2434353443043554452 |

7 | 113201130516306005 |

oct | 10000040000000000 |

9 | 1326564172110575 |

10 | 281479271677952 |

11 | 81762763792707 |

12 | 276a069a68ba28 |

13 | c10a4c5cb537a |

14 | 4d71952d318ac |

15 | 2281dc61dc552 |

hex | 1000100000000 |

281479271677952 has 66 divisors (see below), whose sum is σ = 562967133224958. Its totient is φ = 140737488355328.

The previous prime is 281479271677921. The next prime is 281479271678009. The reversal of 281479271677952 is 259776172974182.

It can be written as a sum of positive squares in only one way, i.e., 281474976710656 + 4294967296 = 16777216^2 + 65536^2 .

It is a Leyland number of the form 16^{8} + 8^{16}.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 281479271677952 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4294934528 + ... + 4295000064.

It is an arithmetic number, because the mean of its divisors is an integer number (8529805048863).

Almost surely, 2^{281479271677952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281479271677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281483566612479).

281479271677952 is an abundant number, since it is smaller than the sum of its proper divisors (281487861547006).

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

281479271677952 is an frugal number, since it uses more digits than its factorization.

281479271677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65601 (or 65539 counting only the distinct ones).

The product of its digits is 1493614080, while the sum is 77.

The spelling of 281479271677952 in words is "two hundred eighty-one trillion, four hundred seventy-nine billion, two hundred seventy-one million, six hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131072 131074 262144 262148 524288 524296 1048576 1048592 2097152 2097184 4194304 4194368 8388608 8388736 16777216 16777472 33554432 33554944 67108864 67109888 134217728 134219776 268435456 268439552 536870912 536879104 1073741824 1073758208 2147483648 2147516416 4294967296 4295032832 8590065664 17180131328 34360262656 68720525312 137441050624 274882101248 549764202496 1099528404992 2199056809984 4398113619968 8796227239936 17592454479872 35184908959744 70369817919488 140739635838976 281479271677952

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