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41538754103056 = 24731109983111659
BaseRepresentation
bin10010111000111011111101…
…01011101100011100010000
312110002001210012020120020021
421130131332223230130100
520421032332022244211
6224202350140553224
711515035023106340
oct1134357653543420
9173061705216207
1041538754103056
1112265539861701
1247aa5a4852814
131a2411a8bc4a2
14a386b4a76d20
154c07b94e8771
hex25c77eaec710

41538754103056 has 160 divisors (see below), whose sum is σ = 95915118182400. Its totient is φ = 17052481221120.

The previous prime is 41538754103051. The next prime is 41538754103113. The reversal of 41538754103056 is 65030145783514.

It is a junction number, because it is equal to n+sod(n) for n = 41538754102994 and 41538754103012.

It is not an unprimeable number, because it can be changed into a prime (41538754103051) 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, 371958555 + ... + 372070213.

It is an arithmetic number, because the mean of its divisors is an integer number (599469488640).

Almost surely, 241538754103056 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 41538754103056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47957559091200).

41538754103056 is an abundant number, since it is smaller than the sum of its proper divisors (54376364079344).

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

41538754103056 is a wasteful number, since it uses less digits than its factorization.

41538754103056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112797 (or 112791 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 41538754103056 in words is "forty-one trillion, five hundred thirty-eight billion, seven hundred fifty-four million, one hundred three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 109 112 124 217 218 248 434 436 496 763 868 872 983 1526 1736 1744 1966 3052 3379 3472 3932 6104 6758 6881 7864 12208 13516 13762 15728 23653 27032 27524 30473 47306 54064 55048 60946 94612 107147 110096 111659 121892 189224 213311 214294 223318 243784 378448 426622 428588 446636 487568 750029 781613 853244 857176 893272 1500058 1563226 1706488 1714352 1786544 3000116 3126452 3321557 3412976 3461429 6000232 6252904 6643114 6922858 12000464 12170831 12505808 13286228 13845716 23250899 24230003 24341662 26572456 27691432 46501798 48460006 48683324 53144912 55382864 85195817 93003596 96920012 97366648 109760797 170391634 186007192 193840024 194733296 219521594 340783268 372014384 377295761 387680048 439043188 681566536 754591522 768325579 878086376 1363133072 1509183044 1536651158 1756172752 2641070327 3018366088 3073302316 3402584707 5282140654 6036732176 6146604632 6805169414 10564281308 11963926873 12293209264 13610338828 21128562616 23818092949 23927853746 27220677656 42257125232 47636185898 47855707492 54441355312 83747488111 95272371796 95711414984 167494976222 190544743592 191422829968 334989952444 370881733063 381089487184 669979904888 741763466126 1339959809776 1483526932252 2596172131441 2967053864504 5192344262882 5934107729008 10384688525764 20769377051528 41538754103056