| Base | Representation |
|---|---|
| bin | 110110010110110011011010… |
| … | …0001111100111110001100000 |
| 3 | 2022200220010020101220101100000 |
| 4 | 1230231212310033213301200 |
| 5 | 1000132032031024230333 |
| 6 | 4412514413202500000 |
| 7 | 202465152412223250 |
| oct | 15455466417476140 |
| 9 | 2280803211811300 |
| 10 | 478123078351968 |
| 11 | 12938794a0a5505 |
| 12 | 4575b557664600 |
| 13 | 176a2a74a1b6ba |
| 14 | 860d3cd855960 |
| 15 | 3a42129e0e713 |
| hex | 1b2d9b43e7c60 |
478123078351968 has 2304 divisors, whose sum is σ = 1777521328128000. Its totient is φ = 123474350039040.
The previous prime is 478123078351957. The next prime is 478123078352021. The reversal of 478123078351968 is 869153870321874.
478123078351968 is a `hidden beast` number, since 4 + 7 + 8 + 1 + 2 + 30 + 78 + 3 + 519 + 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 = 478123078351896 and 478123078351905.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 360303750921 + ... + 360303752247.
It is an arithmetic number, because the mean of its divisors is an integer number (771493632000).
It is a 1-persistent number, because it is pandigital, but 2⋅478123078351968 = 956246156703936 is not.
Almost surely, 2478123078351968 is an apocalyptic number.
478123078351968 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 478123078351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888760664064000).
478123078351968 is an abundant number, since it is smaller than the sum of its proper divisors (1299398249776032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
478123078351968 is a wasteful number, since it uses less digits than its factorization.
478123078351968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1655 (or 1635 counting only the distinct ones).
The product of its (nonzero) digits is 487710720, while the sum is 72.
The spelling of 478123078351968 in words is "four hundred seventy-eight trillion, one hundred twenty-three billion, seventy-eight million, three hundred fifty-one thousand, nine hundred sixty-eight".
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