Base | Representation |
---|---|
bin | 110010100000101000… |
… | …011010101001000000 |
3 | 12011222200212221210000 |
4 | 302200220122221000 |
5 | 1342033021310432 |
6 | 40525350440000 |
7 | 3626661061650 |
oct | 624050325100 |
9 | 164880787700 |
10 | 54234556992 |
11 | 21000aa2430 |
12 | a617063000 |
13 | 5164157955 |
14 | 28a6ca0360 |
15 | 16264ed57c |
hex | ca0a1aa40 |
54234556992 has 560 divisors, whose sum is σ = 211017185280. Its totient is φ = 13343616000.
The previous prime is 54234556889. The next prime is 54234556997. The reversal of 54234556992 is 29965543245.
54234556992 is a `hidden beast` number, since 5 + 42 + 3 + 455 + 69 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (54234556997) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7580617 + ... + 7587767.
Almost surely, 254234556992 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 54234556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105508592640).
54234556992 is an abundant number, since it is smaller than the sum of its proper divisors (156782628288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54234556992 is a wasteful number, since it uses less digits than its factorization.
54234556992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7212 (or 7193 counting only the distinct ones).
The product of its digits is 11664000, while the sum is 54.
The spelling of 54234556992 in words is "fifty-four billion, two hundred thirty-four million, five hundred fifty-six thousand, nine hundred ninety-two".
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