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284138778105 = 32571325337443
BaseRepresentation
bin1000010001001111111…
…11011010110111111001
31000011102010020110201100
410020213333122313321
514123404011344410
6334310452042013
726346136523040
oct4104777326771
91004363213640
10284138778105
11aa558a29556
1247099603309
1320a42a45800
14da767b7557
1575cee7c8c0
hex4227fdadf9

284138778105 has 72 divisors (see below), whose sum is σ = 609493405248. Its totient is φ = 119900297088.

The previous prime is 284138778067. The next prime is 284138778139. The reversal of 284138778105 is 501877831482.

It is not a de Polignac number, because 284138778105 - 28 = 284138777849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2615487 + ... + 2721956.

It is an arithmetic number, because the mean of its divisors is an integer number (8465186184).

Almost surely, 2284138778105 is an apocalyptic number.

It is an amenable number.

284138778105 is an abundant number, since it is smaller than the sum of its proper divisors (325354627143).

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

284138778105 is a wasteful number, since it uses less digits than its factorization.

284138778105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337487 (or 5337471 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 284138778105 in words is "two hundred eighty-four billion, one hundred thirty-eight million, seven hundred seventy-eight thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 1183 1365 1521 2535 3549 4095 5915 7605 10647 17745 53235 5337443 16012329 26687215 37362101 48036987 69386759 80061645 112086303 186810505 208160277 240184935 336258909 346933795 485707313 560431515 624480831 902027867 1040801385 1457121939 1681294545 2428536565 2706083601 3122404155 4371365817 4510139335 6314195069 7285609695 8118250803 13530418005 18942585207 21856829085 31570975345 40591254015 56827755621 94712926035 284138778105