| Base | Representation |
|---|---|
| bin | 101101010110100011… |
| … | …0100100001100000000 |
| 3 | 100022101111222101112000 |
| 4 | 1122231012210030000 |
| 5 | 3043430211204333 |
| 6 | 112424131504000 |
| 7 | 10015333515300 |
| oct | 1325506441400 |
| 9 | 308344871460 |
| 10 | 97393459968 |
| 11 | 38339083a92 |
| 12 | 16a60a58000 |
| 13 | 92517b9a6c |
| 14 | 49dcbd9600 |
| 15 | 28004b6713 |
| hex | 16ad1a4300 |
97393459968 has 432 divisors, whose sum is σ = 336591612000. Its totient is φ = 27697324032.
The previous prime is 97393459927. The next prime is 97393459991. The reversal of 97393459968 is 86995439379.
97393459968 is a `hidden beast` number, since 97 + 393 + 4 + 5 + 99 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×973934599682 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 97393459896 and 97393459905.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91106538 + ... + 91107606.
It is an arithmetic number, because the mean of its divisors is an integer number (779147250).
Almost surely, 297393459968 is an apocalyptic number.
97393459968 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 97393459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168295806000).
97393459968 is an abundant number, since it is smaller than the sum of its proper divisors (239198152032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97393459968 is a wasteful number, since it uses less digits than its factorization.
97393459968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1377 (or 1350 counting only the distinct ones).
The product of its digits is 396809280, while the sum is 72.
The spelling of 97393459968 in words is "ninety-seven billion, three hundred ninety-three million, four hundred fifty-nine thousand, nine hundred sixty-eight".
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