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

bin | 100000010101110101… |

… | …101101001101100010 |

3 | 10022122010100121220000 |

4 | 200111311231031202 |

5 | 1032104342414342 |

6 | 23541501400430 |

7 | 2336355210642 |

oct | 402565551542 |

9 | 108563317800 |

10 | 34726138722 |

11 | 13800000000 |

12 | 6891869116 |

13 | 33755784a2 |

14 | 1975dbc522 |

15 | d839d644c |

hex | 815d6d362 |

34726138722 has 90 divisors (see below), whose sum is σ = 85593501147. Its totient is φ = 10523072340.

The previous prime is 34726138721. The next prime is 34726138753. The reversal of 34726138722 is 22783162743.

34726138722 is a *`hidden beast`* number, since 3 + 4 + 7 + 2 + 613 + 8 + 7 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17363069361 + 17363069361 = 131769^2 + 131769^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=131769.

Its product of digits (677376) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (34726138721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3156921697 + ... + 3156921707.

Almost surely, 2^{34726138722} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34726138722

34726138722 is an abundant number, since it is smaller than the sum of its proper divisors (50867362425).

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

34726138722 is an frugal number, since it uses more digits than its factorization.

34726138722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 16 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 34726138722 in words is "thirty-four billion, seven hundred twenty-six million, one hundred thirty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1331 1782 2178 2662 3267 3993 6534 7986 9801 11979 14641 19602 23958 29282 35937 43923 71874 87846 107811 131769 161051 215622 263538 322102 395307 483153 790614 966306 1185921 1449459 1771561 2371842 2898918 3543122 4348377 5314683 8696754 10629366 13045131 15944049 19487171 26090262 31888098 38974342 47832147 58461513 95664294 116923026 143496441 175384539 214358881 286992882 350769078 428717762 526153617 643076643 1052307234 1286153286 1578460851 1929229929 3156921702 3858459858 5787689787 11575379574 17363069361 34726138722

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