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28866042442688 = 26111129333110903
BaseRepresentation
bin1101001000000111001100…
…01101001011001111000000
310210012120022010111100100112
412210003212031023033000
512240420123331131223
6141220513221210452
76036334304236643
oct644034615131700
9123176263440315
1028866042442688
11921a024471710
1232a2523260a28
1313150963baac9
1471b1a4011a5a
15350d1305e778
hex1a40e634b3c0

28866042442688 has 112 divisors (see below), whose sum is σ = 62568284271360. Its totient is φ = 13104169113600.

The previous prime is 28866042442663. The next prime is 28866042442691. The reversal of 28866042442688 is 88624424066882.

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 15 ways as a sum of consecutive naturals, for example, 2647526645 + ... + 2647537547.

It is an arithmetic number, because the mean of its divisors is an integer number (558645395280).

Almost surely, 228866042442688 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 28866042442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31284142135680).

28866042442688 is an abundant number, since it is smaller than the sum of its proper divisors (33702241828672).

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

28866042442688 is a wasteful number, since it uses less digits than its factorization.

28866042442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 452984832, while the sum is 68.

The spelling of 28866042442688 in words is "twenty-eight trillion, eight hundred sixty-six billion, forty-two million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1129 2258 3331 4516 6662 9032 10903 12419 13324 18064 21806 24838 26648 36128 36641 43612 49676 53296 72256 73282 87224 99352 106592 119933 146564 174448 198704 213184 239866 293128 348896 397408 479732 586256 697792 794816 959464 1172512 1918928 2345024 3760699 3837856 7521398 7675712 12309487 15042796 24618974 30085592 36317893 41367689 49237948 60171184 72635786 82735378 98475896 120342368 135404357 145271572 165470756 196951792 240684736 270808714 290543144 330941512 393903584 399496823 541617428 581086288 661883024 787807168 798993646 1083234856 1162172576 1323766048 1597987292 2166469712 2324345152 2647532096 3195974584 4332939424 6391949168 8665878848 12783898336 25567796672 41002901197 82005802394 164011604788 328023209576 451031913167 656046419152 902063826334 1312092838304 1804127652668 2624185676608 3608255305336 7216510610672 14433021221344 28866042442688