| Base | Representation |
|---|---|
| bin | 101101011111001101… |
| … | …0011100101110000000 |
| 3 | 100100010202110111200000 |
| 4 | 1122332122130232000 |
| 5 | 3100024033304203 |
| 6 | 112513024400000 |
| 7 | 10025461215300 |
| oct | 1327632345600 |
| 9 | 310122414600 |
| 10 | 97683884928 |
| 11 | 38478008613 |
| 12 | 16b22176000 |
| 13 | 9299a14556 |
| 14 | 4a295d9600 |
| 15 | 281ac334a3 |
| hex | 16be69cb80 |
97683884928 has 576 divisors, whose sum is σ = 342839952000. Its totient is φ = 27602684928.
The previous prime is 97683884927. The next prime is 97683884929. The reversal of 97683884928 is 82948838679.
It is an interprime number because it is at equal distance from previous prime (97683884927) and next prime (97683884929).
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97683884927) 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 71 ways as a sum of consecutive naturals, for example, 163077973 + ... + 163078571.
It is an arithmetic number, because the mean of its divisors is an integer number (595208250).
Almost surely, 297683884928 is an apocalyptic number.
97683884928 is a gapful number since it is divisible by the number (98) 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 97683884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171419976000).
97683884928 is an abundant number, since it is smaller than the sum of its proper divisors (245156067072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97683884928 is a wasteful number, since it uses less digits than its factorization.
97683884928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 749 (or 718 counting only the distinct ones).
The product of its digits is 334430208, while the sum is 72.
The spelling of 97683884928 in words is "ninety-seven billion, six hundred eighty-three million, eight hundred eighty-four thousand, nine hundred twenty-eight".
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