| Base | Representation |
|---|---|
| bin | 110101100010001001000… |
| … | …110001001101110100000 |
| 3 | 111000200121100100120002000 |
| 4 | 311202021012021232200 |
| 5 | 440233131234043142 |
| 6 | 11454002545524000 |
| 7 | 526532616610500 |
| oct | 65421106115640 |
| 9 | 14020540316060 |
| 10 | 3678792096672 |
| 11 | 1199192261740 |
| 12 | 4b4b84043600 |
| 13 | 208ba7291604 |
| 14 | ca0a9729a00 |
| 15 | 65a619d314c |
| hex | 35889189ba0 |
3678792096672 has 1728 divisors, whose sum is σ = 14469500707200. Its totient is φ = 898990202880.
The previous prime is 3678792096671. The next prime is 3678792096677. The reversal of 3678792096672 is 2766902978763.
It is a super-2 number, since 2×36787920966722 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 3678792096672.
It is not an unprimeable number, because it can be changed into a prime (3678792096671) by changing a digit.
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, 26852496988 + ... + 26852497124.
It is an arithmetic number, because the mean of its divisors is an integer number (8373553650).
Almost surely, 23678792096672 is an apocalyptic number.
3678792096672 is a gapful number since it is divisible by the number (32) 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 3678792096672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234750353600).
3678792096672 is an abundant number, since it is smaller than the sum of its proper divisors (10790708610528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3678792096672 is a wasteful number, since it uses less digits than its factorization.
3678792096672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 336 (or 292 counting only the distinct ones).
The product of its (nonzero) digits is 576108288, while the sum is 72.
The spelling of 3678792096672 in words is "three trillion, six hundred seventy-eight billion, seven hundred ninety-two million, ninety-six thousand, six hundred seventy-two".
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