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285552693096 = 233114437333331
BaseRepresentation
bin1000010011111000100…
…01000100111101101000
31000022001122202210110020
410021330101010331220
514134302442134341
6335103041120440
726426155562136
oct4117421047550
91008048683406
10285552693096
11100114061840
1247413029120
1320c09956ab8
14db6c4ac756
157664170566
hex427c444f68

285552693096 has 128 divisors (see below), whose sum is σ = 781837539840. Its totient is φ = 86192121600.

The previous prime is 285552693077. The next prime is 285552693103. The reversal of 285552693096 is 690396255582.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85724151 + ... + 85727481.

It is an arithmetic number, because the mean of its divisors is an integer number (6108105780).

Almost surely, 2285552693096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285552693096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390918769920).

285552693096 is an abundant number, since it is smaller than the sum of its proper divisors (496284846744).

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

285552693096 is a wasteful number, since it uses less digits than its factorization.

285552693096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 285552693096 in words is "two hundred eighty-five billion, five hundred fifty-two million, six hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 443 733 886 1329 1466 1772 2199 2658 2932 3331 3544 4398 4873 5316 5864 6662 8063 8796 9746 9993 10632 13324 14619 16126 17592 19492 19986 24189 26648 29238 32252 36641 38984 39972 48378 58476 64504 73282 79944 96756 109923 116952 146564 193512 219846 293128 324719 439692 649438 879384 974157 1298876 1475633 1948314 2441623 2597752 2951266 3571909 3896628 4426899 4883246 5902532 7143818 7324869 7793256 8853798 9766492 10715727 11805064 14287636 14649738 16231963 17707596 19532984 21431454 26857853 28575272 29299476 32463926 35415192 42862908 48695889 53715706 58598952 64927852 80573559 85725816 97391778 107431412 129855704 161147118 194783556 214862824 322294236 389567112 644588472 1081638989 2163277978 3244916967 4326555956 6489833934 8653111912 11898028879 12979667868 23796057758 25959335736 35694086637 47592115516 71388173274 95184231032 142776346548 285552693096