| Base | Representation |
|---|---|
| bin | 101000110111000001… |
| … | …1000000100000000000 |
| 3 | 22101111010212202100000 |
| 4 | 1101232003000200000 |
| 5 | 2414200340100120 |
| 6 | 104150525200000 |
| 7 | 6224263350621 |
| oct | 1215603004000 |
| 9 | 271433782300 |
| 10 | 87745628160 |
| 11 | 34238135173 |
| 12 | 15009a00000 |
| 13 | 8374a64648 |
| 14 | 4365749a48 |
| 15 | 24384be990 |
| hex | 146e0c0800 |
87745628160 has 576 divisors, whose sum is σ = 318745627200. Its totient is φ = 23150002176.
The previous prime is 87745628143. The next prime is 87745628161. The reversal of 87745628160 is 6182654778.
87745628160 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 5 + 628 + 1 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×877456281602 (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 = 87745628097 and 87745628106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87745628161) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445409182 + ... + 445409378.
It is an arithmetic number, because the mean of its divisors is an integer number (553377825).
Almost surely, 287745628160 is an apocalyptic number.
87745628160 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 87745628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159372813600).
87745628160 is an abundant number, since it is smaller than the sum of its proper divisors (230999999040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87745628160 is a wasteful number, since it uses less digits than its factorization.
87745628160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 418 (or 386 counting only the distinct ones).
The product of its (nonzero) digits is 4515840, while the sum is 54.
The spelling of 87745628160 in words is "eighty-seven billion, seven hundred forty-five million, six hundred twenty-eight thousand, one hundred sixty".
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