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128753763864 = 233114127742943
BaseRepresentation
bin111011111101001010…
…0101000011000011000
3110022100001220220000220
41313322110220120120
54102141430420424
6135052040000040
712205431635565
oct1677224503030
9408301826026
10128753763864
114a671163510
1220b53460020
13c1ab9421bb
146335b8186c
153538743579
hex1dfa528618

128753763864 has 128 divisors (see below), whose sum is σ = 361018183680. Its totient is φ = 37926374400.

The previous prime is 128753763863. The next prime is 128753763871. The reversal of 128753763864 is 468367357821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 128753763798 and 128753763807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128753763863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2976777 + ... + 3019719.

It is an arithmetic number, because the mean of its divisors is an integer number (2820454560).

Almost surely, 2128753763864 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 128753763864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180509091840).

128753763864 is an abundant number, since it is smaller than the sum of its proper divisors (232264419816).

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

128753763864 is a wasteful number, since it uses less digits than its factorization.

128753763864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43281 (or 43277 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 128753763864 in words is "one hundred twenty-eight billion, seven hundred fifty-three million, seven hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 277 328 451 492 554 831 902 984 1108 1353 1662 1804 2216 2706 3047 3324 3608 5412 6094 6648 9141 10824 11357 12188 18282 22714 24376 34071 36564 42943 45428 68142 73128 85886 90856 124927 128829 136284 171772 249854 257658 272568 343544 374781 472373 499708 515316 749562 944746 999416 1030632 1417119 1499124 1760663 1889492 2834238 2998248 3521326 3778984 5281989 5668476 7042652 10563978 11336952 11895211 14085304 19367293 21127956 23790422 35685633 38734586 42255912 47580844 58101879 71371266 77469172 95161688 116203758 130847321 142742532 154938344 232407516 261694642 285485064 392541963 464815032 487703651 523389284 785083926 975407302 1046778568 1463110953 1570167852 1950814604 2926221906 3140335704 3901629208 5364740161 5852443812 10729480322 11704887624 16094220483 21458960644 32188440966 42917921288 64376881932 128753763864