| Base | Representation |
|---|---|
| bin | 101010111001100110110… |
| … | …001011100000010000000 |
| 3 | 101102211111012012110000000 |
| 4 | 222321212301130002000 |
| 5 | 341300122340112320 |
| 6 | 10134154150000000 |
| 7 | 422663652563556 |
| oct | 52714661340200 |
| 9 | 11384435173000 |
| 10 | 2948071800960 |
| 11 | a372a7748200 |
| 12 | 3b7433346000 |
| 13 | 185004465300 |
| 14 | a298a47bbd6 |
| 15 | 51a45970c90 |
| hex | 2ae66c5c080 |
2948071800960 has 2304 divisors, whose sum is σ = 12702855110400. Its totient is φ = 653303439360.
The previous prime is 2948071800923. The next prime is 2948071800977. The reversal of 2948071800960 is 690081708492.
2948071800960 is a `hidden beast` number, since 2 + 9 + 480 + 71 + 8 + 0 + 0 + 96 + 0 = 666.
It is a super-2 number, since 2×29480718009602 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2948071800897 and 2948071800906.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28622056269 + ... + 28622056371.
It is an arithmetic number, because the mean of its divisors is an integer number (5513391975).
Almost surely, 22948071800960 is an apocalyptic number.
2948071800960 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 2948071800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351427555200).
2948071800960 is an abundant number, since it is smaller than the sum of its proper divisors (9754783309440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2948071800960 is a wasteful number, since it uses less digits than its factorization.
2948071800960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 191 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 1741824, while the sum is 54.
The spelling of 2948071800960 in words is "two trillion, nine hundred forty-eight billion, seventy-one million, eight hundred thousand, nine hundred sixty".
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