| Base | Representation |
|---|---|
| bin | 110010101001010001… |
| … | …101001001000100000 |
| 3 | 12012100210202222200000 |
| 4 | 302221101221020200 |
| 5 | 1342332133110414 |
| 6 | 40552011100000 |
| 7 | 3633401551230 |
| oct | 625121511040 |
| 9 | 165323688600 |
| 10 | 54379581984 |
| 11 | 210759468a2 |
| 12 | a657741600 |
| 13 | 5188204260 |
| 14 | 28bc251cc0 |
| 15 | 16340e8b09 |
| hex | ca9469220 |
54379581984 has 1152 divisors, whose sum is σ = 212374536192. Its totient is φ = 13302558720.
The previous prime is 54379581983. The next prime is 54379582027. The reversal of 54379581984 is 48918597345.
54379581984 is a `hidden beast` number, since 5 + 43 + 7 + 9 + 581 + 9 + 8 + 4 = 666.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
Its product of digits (43545600) is a multiple of the sum of its prime divisors (160).
It is not an unprimeable number, because it can be changed into a prime (54379581983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 811635519 + ... + 811635585.
It is an arithmetic number, because the mean of its divisors is an integer number (184352896).
Almost surely, 254379581984 is an apocalyptic number.
54379581984 is a gapful number since it is divisible by the number (54) 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 54379581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106187268096).
54379581984 is an abundant number, since it is smaller than the sum of its proper divisors (157994954208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54379581984 is a wasteful number, since it uses less digits than its factorization.
54379581984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 160 counting only the distinct ones).
The product of its digits is 43545600, while the sum is 63.
The spelling of 54379581984 in words is "fifty-four billion, three hundred seventy-nine million, five hundred eighty-one thousand, nine hundred eighty-four".
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