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

bin | 11101000110100100100… |

… | …00101011100101000000 |

3 | 10112121001221011020221101 |

4 | 32203102100223211000 |

5 | 112340404230011312 |

6 | 2043213021104144 |

7 | 132146640523252 |

oct | 16432220534500 |

9 | 3477057136841 |

10 | 999960000832 |

11 | 356098395a31 |

12 | 1419706b8054 |

13 | 733acc024b0 |

14 | 36580dd3cd2 |

15 | 1b027eb4a57 |

hex | e8d242b940 |

999960000832 has 112 divisors (see below), whose sum is σ = 2250117318400. Its totient is φ = 437090826240.

The previous prime is 999960000797. The next prime is 999960000841. The reversal of 999960000832 is 238000069999.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 999960000832 = 6952^{3} + 8724^{3} = 7393^{3} + 8415^{3}.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61943482 + ... + 61959622.

It is an arithmetic number, because the mean of its divisors is an integer number (20090333200).

Almost surely, 2^{999960000832} 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 999960000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125058659200).

999960000832 is an abundant number, since it is smaller than the sum of its proper divisors (1250157317568).

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

999960000832 is a wasteful number, since it uses less digits than its factorization.

999960000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20104 (or 20094 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The spelling of 999960000832 in words is "nine hundred ninety-nine billion, nine hundred sixty million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3919 3952 7838 7904 15676 15808 16141 31352 32282 50947 62704 64564 74461 101894 125408 129128 148922 203788 209833 250816 258256 297844 306679 407576 419666 516512 595688 613358 815152 839332 967993 1033024 1191376 1226716 1630304 1678664 1935986 2382752 2453432 3260608 3357328 3871972 3986827 4765504 4906864 6714656 7743944 7973654 9813728 13429312 15487888 15947308 19627456 30975776 31894616 61951552 63256579 63789232 126513158 127578464 253026316 255156928 506052632 822335527 1012105264 1201875001 1644671054 2024210528 2403750002 3289342108 4048421056 4807500004 6578684216 9615000008 13157368432 15624375013 19230000016 26314736864 31248750026 38460000032 52629473728 62497500052 76920000064 124995000104 249990000208 499980000416 999960000832

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