| Base | Representation |
|---|---|
| bin | 11000100110101110001110… |
| … | …10111000010101000000000 |
| 3 | 21002120120202012001021112000 |
| 4 | 30103113013113002220000 |
| 5 | 24042442213204440020 |
| 6 | 311024233511504000 |
| 7 | 14253051040230420 |
| oct | 1423270727025000 |
| 9 | 232516665037460 |
| 10 | 54107047733760 |
| 11 | 1627074097250a |
| 12 | 609a384988000 |
| 13 | 24263711a7ab8 |
| 14 | d50b1b9cc480 |
| 15 | 63c6ad94c090 |
| hex | 3135c75c2a00 |
54107047733760 has 1280 divisors, whose sum is σ = 221208413184000. Its totient is φ = 12279880876032.
The previous prime is 54107047733737. The next prime is 54107047733789. The reversal of 54107047733760 is 6733774070145.
54107047733760 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 70 + 477 + 33 + 76 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-2 number, since 2×541070477337602 (a number of 28 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 = 54107047733697 and 54107047733706.
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 127 ways as a sum of consecutive naturals, for example, 57135213607 + ... + 57135214553.
It is an arithmetic number, because the mean of its divisors is an integer number (172819072800).
Almost surely, 254107047733760 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 54107047733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110604206592000).
54107047733760 is an abundant number, since it is smaller than the sum of its proper divisors (167101365450240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54107047733760 is a wasteful number, since it uses less digits than its factorization.
54107047733760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1698 (or 1676 counting only the distinct ones).
The product of its (nonzero) digits is 10372320, while the sum is 54.
The spelling of 54107047733760 in words is "fifty-four trillion, one hundred seven billion, forty-seven million, seven hundred thirty-three thousand, seven hundred sixty".
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