| Base | Representation |
|---|---|
| bin | 111011110101110111110… |
| … | …011110111000000000000 |
| 3 | 112120010112211021001121110 |
| 4 | 323311313303313000000 |
| 5 | 1014333434202114400 |
| 6 | 12425054531323320 |
| 7 | 603050321303130 |
| oct | 73656763670000 |
| 9 | 15503484231543 |
| 10 | 4112293785600 |
| 11 | 13460176a8860 |
| 12 | 564ba6a50540 |
| 13 | 23aa315a3010 |
| 14 | 103071014ac0 |
| 15 | 71e84647e50 |
| hex | 3bd77cf7000 |
4112293785600 has 2496 divisors, whose sum is σ = 18739808575488. Its totient is φ = 767950848000.
The previous prime is 4112293785583. The next prime is 4112293785713. The reversal of 4112293785600 is 65873922114.
It is a tau number, because it is divible by the number of its divisors (2496).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 4112293785600.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13222809445 + ... + 13222809755.
It is an arithmetic number, because the mean of its divisors is an integer number (7507936128).
It is a 1-persistent number, because it is pandigital, but 2⋅4112293785600 = 8224587571200 is not.
Almost surely, 24112293785600 is an apocalyptic number.
4112293785600 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 4112293785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369904287744).
4112293785600 is an abundant number, since it is smaller than the sum of its proper divisors (14627514789888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4112293785600 is a wasteful number, since it uses less digits than its factorization.
4112293785600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 422 (or 395 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 48.
The spelling of 4112293785600 in words is "four trillion, one hundred twelve billion, two hundred ninety-three million, seven hundred eighty-five thousand, six hundred".
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