Base | Representation |
---|---|
bin | 1000010010101101001… |
… | …10100101010000000000 |
3 | 1000020102121202002211000 |
4 | 10021112212211100000 |
5 | 14132004210434120 |
6 | 334520225252000 |
7 | 26404413544050 |
oct | 4112646452000 |
9 | 1006377662730 |
10 | 284920796160 |
11 | aa91a3a8270 |
12 | 47277494000 |
13 | 20b38a709a0 |
14 | db0c5c1560 |
15 | 7628951990 |
hex | 42569a5400 |
284920796160 has 2816 divisors, whose sum is σ = 1426205491200. Its totient is φ = 52022476800.
The previous prime is 284920796143. The next prime is 284920796177. The reversal of 284920796160 is 61697029482.
284920796160 is a `hidden beast` number, since 2 + 8 + 492 + 0 + 7 + 96 + 1 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (284920796143) and next prime (284920796177).
It is a tau number, because it is divible by the number of its divisors (2816).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 284920796097 and 284920796106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4012968925 + ... + 4012968995.
Almost surely, 2284920796160 is an apocalyptic number.
284920796160 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 284920796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713102745600).
284920796160 is an abundant number, since it is smaller than the sum of its proper divisors (1141284695040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
284920796160 is a wasteful number, since it uses less digits than its factorization.
284920796160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 54.
The spelling of 284920796160 in words is "two hundred eighty-four billion, nine hundred twenty million, seven hundred ninety-six thousand, one hundred sixty".
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