| Base | Representation |
|---|---|
| bin | 101001010101011100… |
| … | …1001010000010100000 |
| 3 | 22111010021202011211100 |
| 4 | 1102222321022002200 |
| 5 | 2423243203042333 |
| 6 | 104440113114400 |
| 7 | 6261500266161 |
| oct | 1225271120240 |
| 9 | 274107664740 |
| 10 | 88766455968 |
| 11 | 34711394213 |
| 12 | 15253858a00 |
| 13 | 84a83b4978 |
| 14 | 4421159768 |
| 15 | 2497e17213 |
| hex | 14aae4a0a0 |
88766455968 has 144 divisors (see below), whose sum is σ = 253892620800. Its totient is φ = 29417879040.
The previous prime is 88766455963. The next prime is 88766455979. The reversal of 88766455968 is 86955466788.
It is a happy number.
88766455968 is a `hidden beast` number, since 8 + 8 + 7 + 6 + 6 + 4 + 559 + 68 = 666.
It is a Cunningham number, because it is equal to 2979372-1.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 88766455896 and 88766455905.
It is not an unprimeable number, because it can be changed into a prime (88766455963) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42902038 + ... + 42904106.
It is an arithmetic number, because the mean of its divisors is an integer number (1763143200).
Almost surely, 288766455968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 88766455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126946310400).
88766455968 is an abundant number, since it is smaller than the sum of its proper divisors (165126164832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88766455968 is a wasteful number, since it uses less digits than its factorization.
With its successor (88766455969) it forms an eRAP, since the sums of their prime factors are consecutive (2875 and 2876).
88766455968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2875 (or 2864 counting only the distinct ones).
The product of its digits is 696729600, while the sum is 72.
The spelling of 88766455968 in words is "eighty-eight billion, seven hundred sixty-six million, four hundred fifty-five thousand, nine hundred sixty-eight".
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