| Base | Representation |
|---|---|
| bin | 1111010010101000… |
| … | …0001011100000000 |
| 3 | 101121001122011101000 |
| 4 | 3310222001130000 |
| 5 | 31401243003030 |
| 6 | 1515145012000 |
| 7 | 203501001660 |
| oct | 36452013400 |
| 9 | 11531564330 |
| 10 | 4104656640 |
| 11 | 1816a76317 |
| 12 | 966784000 |
| 13 | 505505916 |
| 14 | 2ad1d81a0 |
| 15 | 190549860 |
| hex | f4a81700 |
4104656640 has 864 divisors, whose sum is σ = 17942722560. Its totient is φ = 869916672.
The previous prime is 4104656623. The next prime is 4104656651. The reversal of 4104656640 is 466564014.
4104656640 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 6 + 5 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×41046566402 = 33696412264592179200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4104656595 and 4104656604.
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, 87333097 + ... + 87333143.
It is an arithmetic number, because the mean of its divisors is an integer number (20767040).
Almost surely, 24104656640 is an apocalyptic number.
4104656640 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 4104656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971361280).
4104656640 is an abundant number, since it is smaller than the sum of its proper divisors (13838065920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4104656640 is a wasteful number, since it uses less digits than its factorization.
4104656640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 4104656640 is about 64067.5943047653. The cubic root of 4104656640 is about 1601.1263735323.
The spelling of 4104656640 in words is "four billion, one hundred four million, six hundred fifty-six thousand, six hundred forty".
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