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28540556336896 = 28617944352223
BaseRepresentation
bin1100111110101000111011…
…01110001101111100000000
310202001110011102222000000021
412133110131232031330000
512220102024410240041
6140411203420303224
76003662410055002
oct637243556157400
9122043142860007
1028540556336896
119103a8900196a
12324b4266a1b14
1312c0494426b36
1470952814a372
153476131abcd1
hex19f51db8df00

28540556336896 has 144 divisors (see below), whose sum is σ = 58769998479360. Its totient is φ = 13827115560960.

The previous prime is 28540556336879. The next prime is 28540556336927. The reversal of 28540556336896 is 69863365504582.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546487041 + ... + 546539263.

It is an arithmetic number, because the mean of its divisors is an integer number (408124989440).

Almost surely, 228540556336896 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 28540556336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29384999239680).

28540556336896 is an abundant number, since it is smaller than the sum of its proper divisors (30229442142464).

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

28540556336896 is an equidigital number, since it uses as much as digits as its factorization.

28540556336896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52822 (or 52808 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 70.

The spelling of 28540556336896 in words is "twenty-eight trillion, five hundred forty billion, five hundred fifty-six million, three hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 79 122 128 158 244 256 316 443 488 632 886 976 1264 1772 1952 2528 3544 3904 4819 5056 7088 7808 9638 10112 14176 15616 19276 20224 27023 28352 34997 38552 52223 54046 56704 69994 77104 104446 108092 113408 139988 154208 208892 216184 279976 308416 417784 432368 559952 616832 835568 864736 1119904 1233664 1671136 1729472 2134817 2239808 3185603 3342272 3458944 4125617 4269634 4479616 6371206 6684544 6917888 8251234 8539268 8959232 12742412 13369088 16502468 17078536 23134789 25484824 33004936 34157072 46269578 50969648 66009872 68314144 92539156 101939296 132019744 136628288 185078312 203878592 251662637 264039488 273256576 370156624 407757184 503325274 528078976 546513152 740313248 815514368 1006650548 1056157952 1411222129 1480626496 1827648331 2013301096 2822444258 2961252992 3655296662 4026602192 5644888516 5922505984 7310593324 8053204384 11289777032 14621186648 16106408768 22579554064 29242373296 32212817536 45159108128 58484746592 64425635072 90318216256 111486548191 116969493184 180636432512 222973096382 233938986368 361272865024 445946192764 467877972736 891892385528 1783784771056 3567569542112 7135139084224 14270278168448 28540556336896