| Base | Representation |
|---|---|
| bin | 10110000001101110010001… |
| … | …110100010011100000000000 |
| 3 | 110201000012102112201001221000 |
| 4 | 112001232101310103200000 |
| 5 | 100144201342021101320 |
| 6 | 542011543200332000 |
| 7 | 26256006362323620 |
| oct | 2601562164234000 |
| 9 | 421005375631830 |
| 10 | 96875433768960 |
| 11 | 2895a705909420 |
| 12 | aa47136914000 |
| 13 | 4209411406032 |
| 14 | 19ccb20386880 |
| 15 | b2ee442a2c90 |
| hex | 581b91d13800 |
96875433768960 has 768 divisors, whose sum is σ = 429334403097600. Its totient is φ = 20129955840000.
The previous prime is 96875433768959. The next prime is 96875433769001. The reversal of 96875433768960 is 6986733457869.
96875433768960 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 543 + 3 + 7 + 6 + 8 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a self number, because there is not a number n which added to its sum of digits gives 96875433768960.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19013710 + ... + 23564210.
It is an arithmetic number, because the mean of its divisors is an integer number (559029170700).
Almost surely, 296875433768960 is an apocalyptic number.
96875433768960 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 96875433768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214667201548800).
96875433768960 is an abundant number, since it is smaller than the sum of its proper divisors (332458969328640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96875433768960 is a wasteful number, since it uses less digits than its factorization.
96875433768960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4550555 (or 4550529 counting only the distinct ones).
The product of its (nonzero) digits is 9876142080, while the sum is 81.
The spelling of 96875433768960 in words is "ninety-six trillion, eight hundred seventy-five billion, four hundred thirty-three million, seven hundred sixty-eight thousand, nine hundred sixty".
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