| Base | Representation |
|---|---|
| bin | 100111000001000110110… |
| … | …110100101010100100000 |
| 3 | 100111022202210201112000000 |
| 4 | 213001012312211110200 |
| 5 | 322412144031301324 |
| 6 | 5411425400300000 |
| 7 | 364466555365110 |
| oct | 47010666452440 |
| 9 | 10438683645000 |
| 10 | 2681248306464 |
| 11 | 9441248505a2 |
| 12 | 373788771600 |
| 13 | 165ac0b32460 |
| 14 | 93ab75b5040 |
| 15 | 49b2abe79c9 |
| hex | 27046da5520 |
2681248306464 has 672 divisors, whose sum is σ = 9925056417024. Its totient is φ = 693770987520.
The previous prime is 2681248306439. The next prime is 2681248306501. The reversal of 2681248306464 is 4646038421862.
It is a happy number.
2681248306464 is a `hidden beast` number, since 2 + 6 + 81 + 24 + 83 + 0 + 6 + 464 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 2681248306464.
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 111 ways as a sum of consecutive naturals, for example, 112499029 + ... + 112522859.
It is an arithmetic number, because the mean of its divisors is an integer number (14769429192).
Almost surely, 22681248306464 is an apocalyptic number.
2681248306464 is a gapful number since it is divisible by the number (24) 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 2681248306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962528208512).
2681248306464 is an abundant number, since it is smaller than the sum of its proper divisors (7243808110560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2681248306464 is a wasteful number, since it uses less digits than its factorization.
2681248306464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23932 (or 23909 counting only the distinct ones).
The product of its (nonzero) digits is 10616832, while the sum is 54.
The spelling of 2681248306464 in words is "two trillion, six hundred eighty-one billion, two hundred forty-eight million, three hundred six thousand, four hundred sixty-four".
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