| Base | Representation |
|---|---|
| bin | 110000100001110011001011… |
| … | …1111010101100110100000000 |
| 3 | 2001222101012210010112022121200 |
| 4 | 1201003212113322230310000 |
| 5 | 421422114411101213410 |
| 6 | 4111503444441421200 |
| 7 | 155624315013404460 |
| oct | 14103462772546400 |
| 9 | 2058335703468550 |
| 10 | 426857873460480 |
| 11 | 114012453452260 |
| 12 | 3ba5baba19a800 |
| 13 | 154246a8b473c7 |
| 14 | 775a061cb5ba0 |
| 15 | 3453845e363c0 |
| hex | 1843997eacd00 |
426857873460480 has 1728 divisors, whose sum is σ = 1867120253526528. Its totient is φ = 87462500106240.
The previous prime is 426857873460449. The next prime is 426857873460493. The reversal of 426857873460480 is 84064378758624.
426857873460480 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 5 + 7 + 8 + 7 + 3 + 4 + 604 + 8 + 0 = 666.
It is a super-3 number, since 3×4268578734604803 (a number of 45 digits) contains 333 as substring.
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 = 426857873460399 and 426857873460408.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19746386632 + ... + 19746408248.
It is an arithmetic number, because the mean of its divisors is an integer number (1080509405976).
Almost surely, 2426857873460480 is an apocalyptic number.
426857873460480 is a gapful number since it is divisible by the number (40) 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 426857873460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933560126763264).
426857873460480 is an abundant number, since it is smaller than the sum of its proper divisors (1440262380066048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426857873460480 is a wasteful number, since it uses less digits than its factorization.
426857873460480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21972 (or 21955 counting only the distinct ones).
The product of its (nonzero) digits is 1734082560, while the sum is 72.
The spelling of 426857873460480 in words is "four hundred twenty-six trillion, eight hundred fifty-seven billion, eight hundred seventy-three million, four hundred sixty thousand, four hundred eighty".
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