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

bin | 100000000000000000000000… |

… | …0000000000000000000000000 |

3 | 1100220121202010002101102010201 |

4 | 1000000000000000000000000 |

5 | 243343141223014220111 |

6 | 2434351452535534544 |

7 | 113200616214553321 |

oct | 10000000000000000 |

9 | 1326552102342121 |

10 | 281474976710656 |

11 | 8176095a352163 |

12 | 2769b8a022a454 |

13 | c109c902387c1 |

14 | 4d71666758448 |

15 | 2281c240ee6c1 |

hex | 1000000000000 |

281474976710656 has 49 divisors (see below), whose sum is σ = 562949953421311. Its totient is φ = 140737488355328.

The previous prime is 281474976710597. The next prime is 281474976710677. The reversal of 281474976710656 is 656017679474182.

The square root of 281474976710656 is 16777216.

The cubic root of 281474976710656 is 65536.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 8-th power, a 12-th power, a 16-th power, a 24-th power, a 48-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{48}.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an unprimeable number.

In principle, a polygon with 281474976710656 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{281474976710656} is an apocalyptic number.

281474976710656 is the 16777216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281474976710656

281474976710656 is a deficient number, since it is larger than the sum of its proper divisors (281474976710655).

281474976710656 is an frugal number, since it uses more digits than its factorization.

281474976710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 73.

The spelling of 281474976710656 in words is "two hundred eighty-one trillion, four hundred seventy-four billion, nine hundred seventy-six million, seven hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869184 34359738368 68719476736 137438953472 274877906944 549755813888 1099511627776 2199023255552 4398046511104 8796093022208 17592186044416 35184372088832 70368744177664 140737488355328 281474976710656

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