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11296019200 = 28523794657
BaseRepresentation
bin10101000010100101…
…11001001100000000
31002011020110020020111
422201102321030000
5141113240103300
65104520521104
7546632402404
oct124122711400
932136406214
1011296019200
114877343464
122233020194
1310b036053b
14792329104
15461a639ba
hex2a14b9300

11296019200 has 108 divisors (see below), whose sum is σ = 28039203640. Its totient is φ = 4505518080.

The previous prime is 11296019179. The next prime is 11296019201. The reversal of 11296019200 is 291069211.

It is not an unprimeable number, because it can be changed into a prime (11296019201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2423272 + ... + 2427928.

Almost surely, 211296019200 is an apocalyptic number.

11296019200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11296019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019601820).

11296019200 is an abundant number, since it is smaller than the sum of its proper divisors (16743184440).

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

11296019200 is an equidigital number, since it uses as much as digits as its factorization.

11296019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 11296019200 in words is "eleven billion, two hundred ninety-six million, nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 379 400 640 758 800 1280 1516 1600 1895 3032 3200 3790 4657 6064 6400 7580 9314 9475 12128 15160 18628 18950 23285 24256 30320 37256 37900 46570 48512 60640 74512 75800 93140 97024 116425 121280 149024 151600 186280 232850 242560 298048 303200 372560 465700 485120 596096 606400 745120 931400 1192192 1212800 1490240 1765003 1862800 2425600 2980480 3530006 3725600 5960960 7060012 7451200 8825015 14120024 14902400 17650030 28240048 29804800 35300060 44125075 56480096 70600120 88250150 112960192 141200240 176500300 225920384 282400480 353000600 451840768 564800960 706001200 1129601920 1412002400 2259203840 2824004800 5648009600 11296019200