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9998745064 = 2371183269727
BaseRepresentation
bin10010100111111100…
…01011110111101000
3221210211101212200021
421103332023313220
5130434134320224
64332055450224
7502530634150
oct112376136750
927724355607
109998745064
114271038180
121b30686974
13c3466b1c9
146abd17760
153d7c111e4
hex253f8bde8

9998745064 has 128 divisors (see below), whose sum is σ = 23775897600. Its totient is φ = 3829098240.

The previous prime is 9998745049. The next prime is 9998745073. The reversal of 9998745064 is 4605478999.

It is a junction number, because it is equal to n+sod(n) for n = 9998744993 and 9998745011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13753069 + ... + 13753795.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 29998745064 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 9998745064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

9998745064 is an abundant number, since it is smaller than the sum of its proper divisors (13777152536).

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

9998745064 is a wasteful number, since it uses less digits than its factorization.

9998745064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The square root of 9998745064 is about 99993.7251231296. The cubic root of 9998745064 is about 2154.3445636733.

The spelling of 9998745064 in words is "nine billion, nine hundred ninety-eight million, seven hundred forty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 269 308 332 538 581 616 664 727 913 1076 1162 1454 1826 1883 2152 2324 2908 2959 3652 3766 4648 5089 5816 5918 6391 7304 7532 7997 10178 11836 12782 15064 15994 20356 20713 22327 23672 25564 31988 40712 41426 44654 51128 55979 60341 63976 82852 89308 111958 120682 156289 165704 178616 195563 223916 241364 245597 312578 391126 422387 447832 482728 491194 625156 663751 782252 844774 982388 1250312 1327502 1368941 1564504 1689548 1719179 1964776 2151193 2655004 2737882 3379096 3438358 4302386 4646257 5310008 5475764 6876716 8604772 9292514 10951528 13753432 15058351 16231729 17209544 18585028 30116702 32463458 37170056 60233404 64926916 113622103 120466808 129853832 178549019 227244206 357098038 454488412 714196076 908976824 1249843133 1428392152 2499686266 4999372532 9998745064