| Base | Representation |
|---|---|
| bin | 100011011001010111000… |
| … | …1001011001110100000000 |
| 3 | 122020001221222220100222000 |
| 4 | 1012302232021121310000 |
| 5 | 1114201130104222210 |
| 6 | 14202511500144000 |
| 7 | 1011320614332300 |
| oct | 106625611316400 |
| 9 | 18201858810860 |
| 10 | 4864824679680 |
| 11 | 16061847846a9 |
| 12 | 666a03b38000 |
| 13 | 29399bc38024 |
| 14 | 12b65cc1d600 |
| 15 | 8682a374ac0 |
| hex | 46cae259d00 |
4864824679680 has 864 divisors, whose sum is σ = 20571976010880. Its totient is φ = 1084823470080.
The previous prime is 4864824679679. The next prime is 4864824679697. The reversal of 4864824679680 is 869764284684.
4864824679680 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 82 + 467 + 9 + 6 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×48648246796802 (a number of 26 digits) contains 22 as substring.
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 = 4864824679599 and 4864824679608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69396007 + ... + 69466073.
It is an arithmetic number, because the mean of its divisors is an integer number (23810157420).
Almost surely, 24864824679680 is an apocalyptic number.
4864824679680 is a gapful number since it is divisible by the number (40) 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 4864824679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285988005440).
4864824679680 is an abundant number, since it is smaller than the sum of its proper divisors (15707151331200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4864824679680 is a wasteful number, since it uses less digits than its factorization.
4864824679680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70152 (or 70125 counting only the distinct ones).
The product of its (nonzero) digits is 891813888, while the sum is 72.
The spelling of 4864824679680 in words is "four trillion, eight hundred sixty-four billion, eight hundred twenty-four million, six hundred seventy-nine thousand, six hundred eighty".
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