| Base | Representation |
|---|---|
| bin | 10001010110101010000110… |
| … | …10001010011000001100000 |
| 3 | 12000010020120100000110000000 |
| 4 | 20223111003101103001200 |
| 5 | 20000221044214022200 |
| 6 | 213055201341300000 |
| 7 | 11016051531441654 |
| oct | 1053250321230140 |
| 9 | 160106510013000 |
| 10 | 38161913032800 |
| 11 | 11183416034297 |
| 12 | 434404b564600 |
| 13 | 183a86471799b |
| 14 | 95d09163aa64 |
| 15 | 462a2b611300 |
| hex | 22b543453060 |
38161913032800 has 1152 divisors, whose sum is σ = 143747049600000. Its totient is φ = 9886018222080.
The previous prime is 38161913032799. The next prime is 38161913032807. The reversal of 38161913032800 is 823031916183.
38161913032800 is a `hidden beast` number, since 3 + 8 + 1 + 61 + 9 + 1 + 303 + 280 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38161913032807) 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 191 ways as a sum of consecutive naturals, for example, 14971325926 + ... + 14971328474.
It is an arithmetic number, because the mean of its divisors is an integer number (124780425000).
Almost surely, 238161913032800 is an apocalyptic number.
38161913032800 is a gapful number since it is divisible by the number (30) 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 38161913032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71873524800000).
38161913032800 is an abundant number, since it is smaller than the sum of its proper divisors (105585136567200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38161913032800 is a wasteful number, since it uses less digits than its factorization.
38161913032800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2832 (or 2801 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 45.
Adding to 38161913032800 its reverse (823031916183), we get a palindrome (38984944948983).
The spelling of 38161913032800 in words is "thirty-eight trillion, one hundred sixty-one billion, nine hundred thirteen million, thirty-two thousand, eight hundred".
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