| Base | Representation |
|---|---|
| bin | 101100111101001101… |
| … | …0110010001111100000 |
| 3 | 100020012020220202200000 |
| 4 | 1121322122302033200 |
| 5 | 3040210014404100 |
| 6 | 112203514100000 |
| 7 | 6655300000104 |
| oct | 1317232621740 |
| 9 | 306166822600 |
| 10 | 96543122400 |
| 11 | 37a4209186a |
| 12 | 1686411a600 |
| 13 | 9147590c3a |
| 14 | 495bcc9904 |
| 15 | 27a09e9900 |
| hex | 167a6b23e0 |
96543122400 has 864 divisors, whose sum is σ = 378353783808. Its totient is φ = 23937638400.
The previous prime is 96543122363. The next prime is 96543122407. The reversal of 96543122400 is 422134569.
It is a happy number.
96543122400 is a `hidden beast` number, since 96 + 5 + 43 + 122 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
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 (96543122407) 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 143 ways as a sum of consecutive naturals, for example, 432928689 + ... + 432928911.
It is an arithmetic number, because the mean of its divisors is an integer number (437909472).
Almost surely, 296543122400 is an apocalyptic number.
96543122400 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 96543122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189176891904).
96543122400 is an abundant number, since it is smaller than the sum of its proper divisors (281810661408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96543122400 is a wasteful number, since it uses less digits than its factorization.
96543122400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 406 (or 381 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
Adding to 96543122400 its reverse (422134569), we get a palindrome (96965256969).
The spelling of 96543122400 in words is "ninety-six billion, five hundred forty-three million, one hundred twenty-two thousand, four hundred".
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