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285841149048 = 233371314542183
BaseRepresentation
bin1000010100011010111…
…01011100110001111000
31000022210202112212122000
410022031131130301320
514140400313232143
6335151423501000
726436260451450
oct4121535346170
91008722485560
10285841149048
11100251970a94
1247493757760
1320c546422b0
14db98918d60
15767e64dbd3
hex428d75cc78

285841149048 has 128 divisors (see below), whose sum is σ = 977234764800. Its totient is φ = 75386671488.

The previous prime is 285841148987. The next prime is 285841149053. The reversal of 285841149048 is 840941148582.

285841149048 is a `hidden beast` number, since 2 + 8 + 584 + 1 + 14 + 9 + 0 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 285841148985 and 285841149003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7251436 + ... + 7290747.

It is an arithmetic number, because the mean of its divisors is an integer number (7634646600).

Almost surely, 2285841149048 is an apocalyptic number.

285841149048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

285841149048 is an abundant number, since it is smaller than the sum of its proper divisors (691393615752).

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

285841149048 is a wasteful number, since it uses less digits than its factorization.

285841149048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14542218 (or 14542208 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 285841149048 in words is "two hundred eighty-five billion, eight hundred forty-one million, one hundred forty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 14542183 29084366 43626549 58168732 87253098 101795281 116337464 130879647 174506196 189048379 203590562 261759294 305385843 349012392 378096758 392638941 407181124 523518588 567145137 610771686 756193516 785277882 814362248 916157529 1047037176 1134290274 1221543372 1323338653 1512387032 1570555764 1701435411 1832315058 2268580548 2443086744 2646677306 2748472587 3141111528 3402870822 3664630116 3970015959 4537161096 5104306233 5293354612 5496945174 6805741644 7329260232 7940031918 10208612466 10586709224 10993890348 11910047877 13611483288 15880063836 20417224932 21987780696 23820095754 31760127672 35730143631 40834449864 47640191508 71460287262 95280383016 142920574524 285841149048