| Base | Representation |
|---|---|
| bin | 110001110101100111111011… |
| … | …0010110110101100001100000 |
| 3 | 2010111011120200121010001202100 |
| 4 | 1203223033312112311201200 |
| 5 | 424424343242401313433 |
| 6 | 4152204155204450400 |
| 7 | 161223543246654141 |
| oct | 14353176626654140 |
| 9 | 2114146617101670 |
| 10 | 438378560182368 |
| 11 | 117754337798a33 |
| 12 | 412008509a9a00 |
| 13 | 15a7bbc8134560 |
| 14 | 7a378c7c35ac8 |
| 15 | 35a33743dcb13 |
| hex | 18eb3f65b5860 |
438378560182368 has 1152 divisors, whose sum is σ = 1455909659568000. Its totient is φ = 123962130432000.
The previous prime is 438378560182361. The next prime is 438378560182411. The reversal of 438378560182368 is 863281065873834.
438378560182368 is a `hidden beast` number, since 4 + 3 + 8 + 3 + 7 + 8 + 5 + 601 + 8 + 2 + 3 + 6 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 438378560182296 and 438378560182305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (438378560182361) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729415241268 + ... + 729415241868.
It is an arithmetic number, because the mean of its divisors is an integer number (1263810468375).
Almost surely, 2438378560182368 is an apocalyptic number.
438378560182368 is a gapful number since it is divisible by the number (48) 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 438378560182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727954829784000).
438378560182368 is an abundant number, since it is smaller than the sum of its proper divisors (1017531099385632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
438378560182368 is a wasteful number, since it uses less digits than its factorization.
438378560182368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).
The product of its (nonzero) digits is 1114767360, while the sum is 72.
The spelling of 438378560182368 in words is "four hundred thirty-eight trillion, three hundred seventy-eight billion, five hundred sixty million, one hundred eighty-two thousand, three hundred sixty-eight".
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