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11198468368 = 2419253157233
BaseRepresentation
bin10100110110111101…
…10001000100010000
31001220102220010122201
422123132301010100
5140413301441433
65051114012544
7544336260553
oct123336610420
931812803581
1011198468368
11482727503a
122206417154
131096096759
147833b469a
154581e4a7d
hex29b7b1110

11198468368 has 120 divisors (see below), whose sum is σ = 23580519768. Its totient is φ = 5149108224.

The previous prime is 11198468357. The next prime is 11198468441. The reversal of 11198468368 is 86386489111.

It can be written as a sum of positive squares in 4 ways, for example, as 640494864 + 10557973504 = 25308^2 + 102752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48061980 + ... + 48062212.

Almost surely, 211198468368 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 11198468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790259884).

11198468368 is an abundant number, since it is smaller than the sum of its proper divisors (12382051400).

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

11198468368 is a wasteful number, since it uses less digits than its factorization.

11198468368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 55.

The spelling of 11198468368 in words is "eleven billion, one hundred ninety-eight million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 157 212 233 304 314 361 424 466 628 722 848 932 1007 1256 1444 1864 2014 2512 2888 2983 3728 4028 4427 5776 5966 8056 8321 8854 11932 12349 16112 16642 17708 19133 23864 24698 33284 35416 36581 38266 47728 49396 56677 66568 70832 73162 76532 84113 98792 113354 133136 146324 153064 158099 168226 197584 226708 234631 292648 306128 316198 336452 453416 469262 585296 632396 672904 695039 906832 938524 1264792 1345808 1390078 1877048 1938793 2529584 2780156 3003881 3754096 3877586 4457989 5560312 6007762 7755172 8915978 11120624 12015524 13205741 15510344 17831956 24031048 26411482 31020688 35663912 36837067 48062096 52822964 71327824 73674134 105645928 147348268 211291856 294696536 589393072 699904273 1399808546 2799617092 5599234184 11198468368