Search a number
-
+
8800808000000 = 29561100101
BaseRepresentation
bin1000000000010001100100…
…0010001101101000000000
31011011100102102220210110212
42000010121002031220000
52123143023322000000
630415011350413252
71565560140464342
oct200043102155000
934140372823425
108800808000000
112893446752325
12ba17a4961228
134babb3094b33
14225d66053292
15103de115ec35
hex8011908da00

8800808000000 has 140 divisors (see below), whose sum is σ = 21980272281726. Its totient is φ = 3520320000000.

The previous prime is 8800807999897. The next prime is 8800808000003. The reversal of 8800808000000 is 8080088.

It can be written as a sum of positive squares in 7 ways, for example, as 4668987494656 + 4131820505344 = 2160784^2 + 2032688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8800808000003) 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 13 ways as a sum of consecutive naturals, for example, 7449950 + ... + 8550050.

Almost surely, 28800808000000 is an apocalyptic number.

8800808000000 is a gapful number since it is divisible by the number (80) 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 8800808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990136140863).

8800808000000 is an abundant number, since it is smaller than the sum of its proper divisors (13179464281726).

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

8800808000000 is an frugal number, since it uses more digits than its factorization.

8800808000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100149 (or 1100108 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 8800808000000 in words is "eight trillion, eight hundred billion, eight hundred eight million", and thus it is an aban number.

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 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 400000 500000 800000 1000000 1100101 1600000 2000000 2200202 4000000 4400404 5500505 8000000 8800808 11001010 17601616 22002020 27502525 35203232 44004040 55005050 70406464 88008080 110010100 137512625 140812928 176016160 220020200 275025250 281625856 352032320 440040400 550050500 563251712 687563125 704064640 880080800 1100101000 1375126250 1408129280 1760161600 2200202000 2750252500 2816258560 3437815625 3520323200 4400404000 5500505000 6875631250 7040646400 8800808000 11001010000 13751262500 14081292800 17189078125 17601616000 22002020000 27502525000 34378156250 35203232000 44004040000 55005050000 68756312500 70406464000 88008080000 110010100000 137512625000 176016160000 220020200000 275025250000 352032320000 440040400000 550050500000 880080800000 1100101000000 1760161600000 2200202000000 4400404000000 8800808000000