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285874034784 = 25313247374903
BaseRepresentation
bin1000010100011110110…
…10111001100001100000
31000022220001102122101020
410022033122321201200
514140432223103114
6335155000405440
726440140126312
oct4121732714140
91008801378336
10285874034784
11100269492588
12474a2776880
1320c5b3b7900
14db9d0397b2
157682497aa9
hex428f6b9860

285874034784 has 144 divisors (see below), whose sum is σ = 829875497472. Its totient is φ = 86089496064.

The previous prime is 285874034777. The next prime is 285874034801. The reversal of 285874034784 is 487430478582.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 575077 + ... + 949979.

It is an arithmetic number, because the mean of its divisors is an integer number (5763024288).

Almost surely, 2285874034784 is an apocalyptic number.

285874034784 is a gapful number since it is divisible by the number (24) 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 285874034784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414937748736).

285874034784 is an abundant number, since it is smaller than the sum of its proper divisors (544001462688).

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

285874034784 is a wasteful number, since it uses less digits than its factorization.

285874034784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374989 (or 374968 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 60.

The spelling of 285874034784 in words is "two hundred eighty-five billion, eight hundred seventy-four million, thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 169 188 208 282 312 338 376 416 507 564 611 624 676 752 1014 1128 1222 1248 1352 1504 1833 2028 2256 2444 2704 3666 4056 4512 4888 5408 7332 7943 8112 9776 14664 15886 16224 19552 23829 29328 31772 47658 58656 63544 95316 127088 190632 254176 374903 381264 749806 762528 1124709 1499612 2249418 2999224 4498836 4873739 5998448 8997672 9747478 11996896 14621217 17620441 17995344 19494956 29242434 35240882 35990688 38989912 52861323 58484868 63358607 70481764 77979824 105722646 116969736 126717214 140963528 155959648 190075821 211445292 229065733 233939472 253434428 281927056 380151642 422890584 458131466 467878944 506868856 563854112 687197199 760303284 845781168 916262932 1013737712 1374394398 1520606568 1691562336 1832525864 2027475424 2748788796 2977854529 3041213136 3665051728 5497577592 5955709058 6082426272 7330103456 8933563587 10995155184 11911418116 17867127174 21990310368 23822836232 35734254348 47645672464 71468508696 95291344928 142937017392 285874034784