| Base | Representation |
|---|---|
| bin | 1010001000000000… |
| … | …00000000000000000 |
| 3 | 112000211110011110000 |
| 4 | 11010000000000000 |
| 5 | 42113032133414 |
| 6 | 2255220240000 |
| 7 | 251463455562 |
| oct | 50400000000 |
| 9 | 15024404400 |
| 10 | 5435817984 |
| 11 | 233a417563 |
| 12 | 1078540000 |
| 13 | 68823135c |
| 14 | 397d0b332 |
| 15 | 21c342b09 |
| hex | 144000000 |
5435817984 has 135 divisors (see below), whose sum is σ = 16240344967. Its totient is φ = 1811939328.
The previous prime is 5435817979. The next prime is 5435817991. The reversal of 5435817984 is 4897185345.
The square root of 5435817984 is 73728.
It is a perfect power (a square), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)14.
5435817984 is a `hidden beast` number, since 54 + 3 + 581 + 7 + 9 + 8 + 4 = 666.
It is an ABA number since it can be written as A⋅BA, here for A=4, B=192.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Duffinian number.
Its product of digits (4838400) is a multiple of the sum of its prime divisors (5).
It is a self number, because there is not a number n which added to its sum of digits gives 5435817984.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1811939327 + 1811939328 + 1811939329.
Almost surely, 25435817984 is an apocalyptic number.
5435817984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
5435817984 is the 73728-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5435817984
5435817984 is an abundant number, since it is smaller than the sum of its proper divisors (10804526983).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5435817984 is an frugal number, since it uses more digits than its factorization.
5435817984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 5 counting only the distinct ones).
The product of its digits is 4838400, while the sum is 54.
The cubic root of 5435817984 is about 1758.2810765619.
The spelling of 5435817984 in words is "five billion, four hundred thirty-five million, eight hundred seventeen thousand, nine hundred eighty-four".
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