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

bin | 10010100010100110… |

… | …10011010100101010 |

3 | 221200201002222222200 |

4 | 21101103103110222 |

5 | 130341202331340 |

6 | 4323415401030 |

7 | 501445112250 |

oct | 112123232452 |

9 | 27621088880 |

10 | 9953948970 |

11 | 4248821209 |

12 | 1b19683176 |

13 | c282b5644 |

14 | 6a5db65d0 |

15 | 3d3d13330 |

hex | 2514d352a |

9953948970 has 288 divisors, whose sum is σ = 32799506688. Its totient is φ = 2047389696.

The previous prime is 9953948929. The next prime is 9953949029. The reversal of 9953948970 is 798493599.

It is a happy number.

9953948970 is a *`hidden beast`* number, since 9 + 9 + 539 + 4 + 8 + 97 + 0 = 666.

It is a super-2 number, since 2×9953948970^{2} (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9953948898 and 9953948907.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4186422 + ... + 4188798.

It is an arithmetic number, because the mean of its divisors is an integer number (113887176).

It is a vampire number, since it can be written as 99705 ⋅ 99834 (with its own digits).

Almost surely, 2^{9953948970} is an apocalyptic number.

9953948970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9953948970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399753344).

9953948970 is an abundant number, since it is smaller than the sum of its proper divisors (22845557718).

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

9953948970 is a wasteful number, since it uses less digits than its factorization.

9953948970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The square root of 9953948970 is about 99769.4791506902. The cubic root of 9953948970 is about 2151.1224692260.

The spelling of 9953948970 in words is "nine billion, nine hundred fifty-three million, nine hundred forty-eight thousand, nine hundred seventy".

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