Base | Representation |
---|---|
bin | 11001011001001110010000… |
… | …11000100010011000000100 |
3 | 21022201110120010210022020100 |
4 | 30230213020120202120010 |
5 | 24304404342303101011 |
6 | 314433322254004100 |
7 | 14522316362425200 |
oct | 1454471030423004 |
9 | 238643503708210 |
10 | 55842231690756 |
11 | 1687a614a92705 |
12 | 631a7224a6630 |
13 | 2520b90c92224 |
14 | db0ac804db00 |
15 | 66c8b8036d56 |
hex | 32c9c8622604 |
55842231690756 has 243 divisors, whose sum is σ = 165283103715093. Its totient is φ = 15850633417920.
The previous prime is 55842231690727. The next prime is 55842231690767. The reversal of 55842231690756 is 65709613224855.
The square root of 55842231690756 is 7472766.
It is a perfect power (a square), and thus also a powerful number.
55842231690756 is a `hidden beast` number, since 5 + 58 + 422 + 3 + 1 + 6 + 90 + 75 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 615336700356 + 55226894990400 = 784434^2 + 7431480^2 .
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 55842231690693 and 55842231690702.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56807966641 + ... + 56807967623.
It is a 1-persistent number, because it is pandigital, but 2⋅55842231690756 = 111684463381512 is not.
Almost surely, 255842231690756 is an apocalyptic number.
55842231690756 is the 7472766-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 55842231690756
55842231690756 is an abundant number, since it is smaller than the sum of its proper divisors (109440872024337).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55842231690756 is an equidigital number, since it uses as much as digits as its factorization.
55842231690756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2352 (or 1176 counting only the distinct ones).
The product of its (nonzero) digits is 108864000, while the sum is 63.
The spelling of 55842231690756 in words is "fifty-five trillion, eight hundred forty-two billion, two hundred thirty-one million, six hundred ninety thousand, seven hundred fifty-six".
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