| Base | Representation |
|---|---|
| bin | 101111101111100100… |
| … | …1100101101100000000 |
| 3 | 100210122100200010221000 |
| 4 | 1133133021211230000 |
| 5 | 3134434142040030 |
| 6 | 115033432332000 |
| 7 | 10256512206666 |
| oct | 1373711455400 |
| 9 | 323570603830 |
| 10 | 102528080640 |
| 11 | 3a533479547 |
| 12 | 17a54544000 |
| 13 | 988c4c134b |
| 14 | 4d68b00c36 |
| 15 | 2a01160860 |
| hex | 17df265b00 |
102528080640 has 576 divisors, whose sum is σ = 380423393280. Its totient is φ = 26117406720.
The previous prime is 102528080621. The next prime is 102528080713. The reversal of 102528080640 is 46080825201.
102528080640 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 8 + 0 + 8 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×1025280806403 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 102528080595 and 102528080604.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 88922304 + ... + 88923456.
It is an arithmetic number, because the mean of its divisors is an integer number (660457280).
Almost surely, 2102528080640 is an apocalyptic number.
102528080640 is a gapful number since it is divisible by the number (10) 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 102528080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190211696640).
102528080640 is an abundant number, since it is smaller than the sum of its proper divisors (277895312640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102528080640 is a wasteful number, since it uses less digits than its factorization.
102528080640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The spelling of 102528080640 in words is "one hundred two billion, five hundred twenty-eight million, eighty thousand, six hundred forty".
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