Base | Representation |
---|---|
bin | 11111000011000000101100… |
… | …00000010110011111010000 |
3 | 22221201211222120001121000000 |
4 | 33201200112000112133100 |
5 | 32422041422321444310 |
6 | 401112132213130000 |
7 | 20244400532064123 |
oct | 1741402600263720 |
9 | 287654876047000 |
10 | 68273169328080 |
11 | 1a832541231712 |
12 | 77a796a329900 |
13 | 2c131946c8c02 |
14 | 12c06209923ba |
15 | 7d5e1d93d4c0 |
hex | 3e18160167d0 |
68273169328080 has 280 divisors, whose sum is σ = 238605694764840. Its totient is φ = 18159369937920.
The previous prime is 68273169328079. The next prime is 68273169328109. The reversal of 68273169328080 is 8082396137286.
68273169328080 is a `hidden beast` number, since 6 + 8 + 2 + 73 + 169 + 328 + 0 + 80 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 123125195664 + 68150044132416 = 350892^2 + 8255304^2 .
It is a super-2 number, since 2×682731693280802 (a number of 28 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 68273169327999 and 68273169328017.
It is a congruent number.
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 55 ways as a sum of consecutive naturals, for example, 21181770 + ... + 24191190.
Almost surely, 268273169328080 is an apocalyptic number.
68273169328080 is a gapful number since it is divisible by the number (60) 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 68273169328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119302847382420).
68273169328080 is an abundant number, since it is smaller than the sum of its proper divisors (170332525436760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68273169328080 is a wasteful number, since it uses less digits than its factorization.
68273169328080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3009841 (or 3009820 counting only the distinct ones).
The product of its (nonzero) digits is 41803776, while the sum is 63.
The spelling of 68273169328080 in words is "sixty-eight trillion, two hundred seventy-three billion, one hundred sixty-nine million, three hundred twenty-eight thousand, eighty".
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