| Base | Representation |
|---|---|
| bin | 110101000101111001011… |
| … | …110101101111110000000 |
| 3 | 110220210022211012012011100 |
| 4 | 311011321132231332000 |
| 5 | 434234024111030143 |
| 6 | 11432025402014400 |
| 7 | 524410241421330 |
| oct | 65057136557600 |
| 9 | 13823284165140 |
| 10 | 3648465330048 |
| 11 | 118733a622050 |
| 12 | 4ab11b7a7400 |
| 13 | 2060832b93a6 |
| 14 | c882db410c0 |
| 15 | 64d8935e6d3 |
| hex | 351797adf80 |
3648465330048 has 576 divisors, whose sum is σ = 13556663752320. Its totient is φ = 914956922880.
The previous prime is 3648465330043. The next prime is 3648465330079. The reversal of 3648465330048 is 8400335648463.
3648465330048 is a `hidden beast` number, since 3 + 64 + 8 + 4 + 6 + 533 + 0 + 0 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×36484653300482 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 3648465329976 and 3648465330003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3648465330043) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 74575611 + ... + 74624517.
It is an arithmetic number, because the mean of its divisors is an integer number (23535874570).
Almost surely, 23648465330048 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3648465330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778331876160).
3648465330048 is an abundant number, since it is smaller than the sum of its proper divisors (9908198422272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3648465330048 is a wasteful number, since it uses less digits than its factorization.
3648465330048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49003 (or 48959 counting only the distinct ones).
The product of its (nonzero) digits is 19906560, while the sum is 54.
The spelling of 3648465330048 in words is "three trillion, six hundred forty-eight billion, four hundred sixty-five million, three hundred thirty thousand, forty-eight".
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