| Base | Representation |
|---|---|
| bin | 1000010001011101101… |
| … | …11001101000000000000 |
| 3 | 1000011201011011122010000 |
| 4 | 10020232313031000000 |
| 5 | 14124123020032030 |
| 6 | 334330131040000 |
| 7 | 26352036453300 |
| oct | 4105667150000 |
| 9 | 1004634148100 |
| 10 | 284254064640 |
| 11 | aa608010a87 |
| 12 | 47110140000 |
| 13 | 20a608ac1b0 |
| 14 | da87c27600 |
| 15 | 75da151860 |
| hex | 422edcd000 |
284254064640 has 1560 divisors, whose sum is σ = 1281268656360. Its totient is φ = 59751530496.
The previous prime is 284254064609. The next prime is 284254064641. The reversal of 284254064640 is 46460452482.
284254064640 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 540 + 64 + 6 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5267275776 + 278986788864 = 72576^2 + 528192^2 .
It is a tau number, because it is divible by the number of its divisors (1560).
It is a super-4 number, since 4×2842540646404 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
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 (284254064641) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1056706426 + ... + 1056706694.
Almost surely, 2284254064640 is an apocalyptic number.
284254064640 is a gapful number since it is divisible by the number (20) 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 284254064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640634328180).
284254064640 is an abundant number, since it is smaller than the sum of its proper divisors (997014591720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
284254064640 is a wasteful number, since it uses less digits than its factorization.
284254064640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 337 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 1474560, while the sum is 45.
The spelling of 284254064640 in words is "two hundred eighty-four billion, two hundred fifty-four million, sixty-four thousand, six hundred forty".
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