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11324800000 = 210553539
BaseRepresentation
bin10101000110000001…
…01011110000000000
31002020020121110002001
422203000223300000
5141143122100000
65111425433344
7550432132423
oct124300536000
932206543061
1011324800000
114891610948
12224079b854
1310b62c95b7
1479609b9ba
1546434b46a
hex2a302bc00

11324800000 has 132 divisors (see below), whose sum is σ = 28304360280. Its totient is φ = 4528640000.

The previous prime is 11324799991. The next prime is 11324800001. The reversal of 11324800000 is 842311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198231 + ... + 3201769.

Almost surely, 211324800000 is an apocalyptic number.

11324800000 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 11324800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152180140).

11324800000 is an abundant number, since it is smaller than the sum of its proper divisors (16979560280).

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

11324800000 is an frugal number, since it uses more digits than its factorization.

11324800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 11324800000 in words is "eleven billion, three hundred twenty-four million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 3539 4000 5000 5120 6250 6400 7078 8000 10000 12500 12800 14156 16000 17695 20000 25000 25600 28312 32000 35390 40000 50000 56624 64000 70780 80000 88475 100000 113248 128000 141560 160000 176950 200000 226496 283120 320000 353900 400000 442375 452992 566240 640000 707800 800000 884750 905984 1132480 1415600 1600000 1769500 1811968 2211875 2264960 2831200 3200000 3539000 3623936 4423750 4529920 5662400 7078000 8847500 9059840 11059375 11324800 14156000 17695000 18119680 22118750 22649600 28312000 35390000 44237500 45299200 56624000 70780000 88475000 90598400 113248000 141560000 176950000 226496000 283120000 353900000 452992000 566240000 707800000 1132480000 1415600000 2264960000 2831200000 5662400000 11324800000