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285717020928 = 28317115119013
BaseRepresentation
bin1000010100001100000…
…11111100000100000000
31000022111002222111212020
410022012003330010000
514140122024132203
6335131231201440
726433222415053
oct4120603740400
91008432874766
10285717020928
1110019889a769
124745a076280
1320c34a013c1
14db86246a9a
1576737d0153
hex42860fc100

285717020928 has 144 divisors (see below), whose sum is σ = 805896677376. Its totient is φ = 89554124800.

The previous prime is 285717020921. The next prime is 285717020959. The reversal of 285717020928 is 829020717582.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (285717020921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15017950 + ... + 15036962.

It is an arithmetic number, because the mean of its divisors is an integer number (5596504704).

Almost surely, 2285717020928 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 285717020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402948338688).

285717020928 is an abundant number, since it is smaller than the sum of its proper divisors (520179656448).

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

285717020928 is a wasteful number, since it uses less digits than its factorization.

285717020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20200 (or 20186 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 285717020928 in words is "two hundred eighty-five billion, seven hundred seventeen million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1151 1632 2176 2302 3264 3453 4352 4604 6528 6906 9208 13056 13812 18416 19013 19567 27624 36832 38026 39134 55248 57039 58701 73664 76052 78268 110496 114078 117402 147328 152104 156536 220992 228156 234804 294656 304208 313072 323221 441984 456312 469608 608416 626144 646442 883968 912624 939216 969663 1216832 1252288 1292884 1825248 1878432 1939326 2433664 2504576 2585768 3650496 3756864 3878652 4867328 5009152 5171536 7300992 7513728 7757304 10343072 14601984 15027456 15514608 20686144 21883963 31029216 41372288 43767926 62058432 65651889 82744576 87535852 124116864 131303778 175071704 248233728 262607556 350143408 372027371 525215112 700286816 744054742 1050430224 1116082113 1400573632 1488109484 2100860448 2232164226 2801147264 2976218968 4201720896 4464328452 5602294528 5952437936 8403441792 8928656904 11904875872 16806883584 17857313808 23809751744 35714627616 47619503488 71429255232 95239006976 142858510464 285717020928