| Base | Representation |
|---|---|
| bin | 101001001010000001… |
| … | …0000100000000000000 |
| 3 | 22110010120001020221000 |
| 4 | 1102110002010000000 |
| 5 | 2422002011231220 |
| 6 | 104334052332000 |
| 7 | 6246132243513 |
| oct | 1222402040000 |
| 9 | 273116036830 |
| 10 | 88382914560 |
| 11 | 3453493a946 |
| 12 | 15167314000 |
| 13 | 8446ab68a5 |
| 14 | 43c623ad7a |
| 15 | 2474405390 |
| hex | 1494084000 |
88382914560 has 480 divisors, whose sum is σ = 324629222400. Its totient is φ = 22790799360.
The previous prime is 88382914549. The next prime is 88382914573. The reversal of 88382914560 is 6541928388.
88382914560 is a `hidden beast` number, since 88 + 382 + 91 + 45 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×883829145602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 88382914497 and 88382914506.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68566396 + ... + 68567684.
It is an arithmetic number, because the mean of its divisors is an integer number (676310880).
Almost surely, 288382914560 is an apocalyptic number.
88382914560 is a gapful number since it is divisible by the number (80) 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 88382914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162314611200).
88382914560 is an abundant number, since it is smaller than the sum of its proper divisors (236246307840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88382914560 is a wasteful number, since it uses less digits than its factorization.
88382914560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1362 (or 1330 counting only the distinct ones).
The product of its (nonzero) digits is 3317760, while the sum is 54.
The spelling of 88382914560 in words is "eighty-eight billion, three hundred eighty-two million, nine hundred fourteen thousand, five hundred sixty".
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