| Base | Representation |
|---|---|
| bin | 101100111001110110… |
| … | …0111010101110000000 |
| 3 | 100012220101212122220000 |
| 4 | 1121303230322232000 |
| 5 | 3034442142411300 |
| 6 | 112144410520000 |
| 7 | 6652431114021 |
| oct | 1316354725600 |
| 9 | 305811778800 |
| 10 | 96430435200 |
| 11 | 37994515250 |
| 12 | 16832436000 |
| 13 | 912a127718 |
| 14 | 494ad54c48 |
| 15 | 2795b8ac00 |
| hex | 1673b3ab80 |
96430435200 has 960 divisors, whose sum is σ = 401089328640. Its totient is φ = 22602240000.
The previous prime is 96430435181. The next prime is 96430435201. The reversal of 96430435200 is 253403469.
96430435200 is a `hidden beast` number, since 9 + 64 + 30 + 43 + 520 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×964304352003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (96430435201) by changing a digit.
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 119 ways as a sum of consecutive naturals, for example, 88386655 + ... + 88387745.
It is an arithmetic number, because the mean of its divisors is an integer number (417801384).
Almost surely, 296430435200 is an apocalyptic number.
96430435200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 96430435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200544664320).
96430435200 is an abundant number, since it is smaller than the sum of its proper divisors (304658893440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96430435200 is a wasteful number, since it uses less digits than its factorization.
96430435200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1169 (or 1143 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 96430435200 its reverse (253403469), we get a palindrome (96683838669).
The spelling of 96430435200 in words is "ninety-six billion, four hundred thirty million, four hundred thirty-five thousand, two hundred".
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