Base | Representation |
---|---|
bin | 11000010100101000111110… |
… | …11011101001110000000000 |
3 | 21000101012002020022022202000 |
4 | 30022110133123221300000 |
5 | 24002302311300022210 |
6 | 305431003334024000 |
7 | 14160134604631620 |
oct | 1412243733516000 |
9 | 230335066268660 |
10 | 53485755079680 |
11 | 160511aa40a840 |
12 | 5bb9a931a8000 |
13 | 23ac8ba10a4c1 |
14 | d2ca1d8d4880 |
15 | 62b449624ac0 |
hex | 30a51f6e9c00 |
53485755079680 has 5632 divisors, whose sum is σ = 266985667952640. Its totient is φ = 9809952768000.
The previous prime is 53485755079633. The next prime is 53485755079717. The reversal of 53485755079680 is 8697055758435.
53485755079680 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 5 + 7 + 550 + 7 + 9 + 68 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5632).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 53485755079599 and 53485755079608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 295501409190 + ... + 295501409370.
Almost surely, 253485755079680 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 53485755079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133492833976320).
53485755079680 is an abundant number, since it is smaller than the sum of its proper divisors (213499912872960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53485755079680 is a wasteful number, since it uses less digits than its factorization.
53485755079680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 344 (or 320 counting only the distinct ones).
The product of its (nonzero) digits is 1270080000, while the sum is 72.
The spelling of 53485755079680 in words is "fifty-three trillion, four hundred eighty-five billion, seven hundred fifty-five million, seventy-nine thousand, six hundred eighty".
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