| Base | Representation |
|---|---|
| bin | 100110100011111101010… |
| … | …001000101010011100000 |
| 3 | 100101022222111111101120000 |
| 4 | 212203331101011103200 |
| 5 | 321404043413440120 |
| 6 | 5345211511020000 |
| 7 | 362311130402664 |
| oct | 46437521052340 |
| 9 | 10338874441500 |
| 10 | 2649948968160 |
| 11 | 93192312145a |
| 12 | 3696b266a600 |
| 13 | 162b73504630 |
| 14 | 9238877c8a4 |
| 15 | 48de7eae990 |
| hex | 268fd4454e0 |
2649948968160 has 480 divisors, whose sum is σ = 10085536359360. Its totient is φ = 651386437632.
The previous prime is 2649948968141. The next prime is 2649948968201. The reversal of 2649948968160 is 618698499462.
2649948968160 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 9 + 489 + 6 + 81 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-3 number, since 3×26499489681603 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125170056 + ... + 125191224.
It is an arithmetic number, because the mean of its divisors is an integer number (21011534082).
Almost surely, 22649948968160 is an apocalyptic number.
2649948968160 is a gapful number since it is divisible by the number (20) 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 2649948968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042768179680).
2649948968160 is an abundant number, since it is smaller than the sum of its proper divisors (7435587391200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2649948968160 is a wasteful number, since it uses less digits than its factorization.
2649948968160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21952 (or 21935 counting only the distinct ones).
The product of its (nonzero) digits is 322486272, while the sum is 72.
The spelling of 2649948968160 in words is "two trillion, six hundred forty-nine billion, nine hundred forty-eight million, nine hundred sixty-eight thousand, one hundred sixty".
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