| Base | Representation |
|---|---|
| bin | 10001011100101111011101… |
| … | …00110001111001101000000 |
| 3 | 12000212020010012011002220200 |
| 4 | 20232113232212033031000 |
| 5 | 20012132144114400240 |
| 6 | 213335211424205200 |
| 7 | 11040131544225300 |
| oct | 1056275646171500 |
| 9 | 160766105132820 |
| 10 | 38370945856320 |
| 11 | 112540326754a0 |
| 12 | 4378668169800 |
| 13 | 185449823a33c |
| 14 | 969241239600 |
| 15 | 4681b2a97930 |
| hex | 22e5ee98f340 |
38370945856320 has 1008 divisors, whose sum is σ = 167686152499008. Its totient is φ = 7963603845120.
The previous prime is 38370945856291. The next prime is 38370945856367. The reversal of 38370945856320 is 2365854907383.
It is a happy number.
38370945856320 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 0 + 9 + 45 + 8 + 563 + 20 = 666.
38370945856320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1330323819 + ... + 1330352661.
Almost surely, 238370945856320 is an apocalyptic number.
38370945856320 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 38370945856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83843076249504).
38370945856320 is an abundant number, since it is smaller than the sum of its proper divisors (129315206642688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38370945856320 is a wasteful number, since it uses less digits than its factorization.
38370945856320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29748 (or 29728 counting only the distinct ones).
The product of its (nonzero) digits is 130636800, while the sum is 63.
The spelling of 38370945856320 in words is "thirty-eight trillion, three hundred seventy billion, nine hundred forty-five million, eight hundred fifty-six thousand, three hundred twenty".
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