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

bin | 101100010011010001101101… |

… | …000000000111000010100101 |

3 | 221112212101210202110020222200 |

4 | 230103101231000013002211 |

5 | 201014214202120124000 |

6 | 1530215401421245113 |

7 | 56016430146121623 |

oct | 5423215500070245 |

9 | 845771722406880 |

10 | 194838725161125 |

11 | 57099703a11391 |

12 | 19a29072a03799 |

13 | 849429cac2696 |

14 | 361835d316513 |

15 | 177d308010500 |

hex | b1346d0070a5 |

194838725161125 has 108 divisors (see below), whose sum is σ = 352721814125772. Its totient is φ = 103474271040000.

The previous prime is 194838725161111. The next prime is 194838725161147. The reversal of 194838725161125 is 521161527838491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

194838725161125 is a *`hidden beast`* number, since 1 + 9 + 4 + 8 + 3 + 8 + 7 + 2 + 5 + 1 + 611 + 2 + 5 = 666.

194838725161125 is a nontrivial binomial coefficient, being equal to C(19740250, 2).

It can be written as a sum of positive squares in 18 ways, for example, as 179191581972516 + 15647143188609 = 13386246^2 + 3955647^2 .

It is not a de Polignac number, because 194838725161125 - 2^{11} = 194838725159077 is a prime.

It is a super-2 number, since 2×194838725161125^{2} (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 131558895385 + ... + 131558896865.

Almost surely, 2^{194838725161125} is an apocalyptic number.

194838725161125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

194838725161125 is the 19740249-th triangular number and also the 9870125-th hexagonal number.

It is an amenable number.

194838725161125 is a deficient number, since it is larger than the sum of its proper divisors (157883088964647).

194838725161125 is an frugal number, since it uses more digits than its factorization.

194838725161125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 1770 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 194838725161125 in words is "one hundred ninety-four trillion, eight hundred thirty-eight billion, seven hundred twenty-five million, one hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 281 375 843 1125 1405 1481 2529 4215 4443 7025 7405 12645 13329 21075 22215 35125 37025 63225 66645 78961 105375 111075 185125 236883 316125 333225 394805 416161 555375 710649 1184415 1248483 1666125 1974025 2080805 2193361 3553245 3745449 5922075 6242415 6580083 9870125 10404025 10966805 17766225 18727245 19740249 29610375 31212075 32900415 52020125 54834025 88831125 93636225 98701245 116941241 156060375 164502075 274170125 350823723 468181125 493506225 584706205 616334441 822510375 1052471169 1754118615 1849003323 2467531125 2923531025 3081672205 5262355845 5547009969 8770593075 9245016615 14617655125 15408361025 26311779225 27735049845 43852965375 46225083075 77041805125 131558896125 138675249225 173189977921 231125415375 519569933763 693376246125 865949889605 1558709801289 2597849668815 4329749448025 7793549006445 12989248344075 21648747240125 38967745032225 64946241720375 194838725161125

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