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284333891140 = 225132671255559
BaseRepresentation
bin1000010001100111001…
…11101101111001000100
31000011220201101020111001
410020303213231321010
514124303434004030
6334342102023044
726354026124515
oct4106347557104
91004821336431
10284333891140
11aa6490838a2
1247132a17a84
1320a742ab600
14da94686a0c
1575e216dcca
hex42339ede44

284333891140 has 72 divisors (see below), whose sum is σ = 656215922880. Its totient is φ = 103417801344.

The previous prime is 284333891123. The next prime is 284333891159. The reversal of 284333891140 is 41198333482.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401320 + ... + 854239.

It is an arithmetic number, because the mean of its divisors is an integer number (9114110040).

Almost surely, 2284333891140 is an apocalyptic number.

284333891140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284333891140 is an abundant number, since it is smaller than the sum of its proper divisors (371882031740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284333891140 is a wasteful number, since it uses less digits than its factorization.

284333891140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255661 (or 1255646 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 284333891140 in words is "two hundred eighty-four billion, three hundred thirty-three million, eight hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 169 260 268 335 338 670 676 845 871 1340 1690 1742 3380 3484 4355 8710 11323 17420 22646 45292 56615 113230 226460 1255559 2511118 5022236 6277795 12555590 16322267 25111180 32644534 65289068 81611335 84122453 163222670 168244906 212189471 326445340 336489812 420612265 424378942 841224530 848757884 1060947355 1093591889 1682449060 2121894710 2187183778 4243789420 4374367556 5467959445 10935918890 14216694557 21871837780 28433389114 56866778228 71083472785 142166945570 284333891140