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1128128512 = 2137103191
BaseRepresentation
bin100001100111101…
…1110000000000000
32220121202212101111
41003033132000000
54302300103022
6303535413104
736645635260
oct10317360000
92817685344
101128128512
11529887715
12275984194
1314c94bb84
14a9b817a0
1569090477
hex433de000

1128128512 has 112 divisors (see below), whose sum is σ = 2617085952. Its totient is φ = 476282880.

The previous prime is 1128128501. The next prime is 1128128539. The reversal of 1128128512 is 2158218211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5906337 + ... + 5906527.

Almost surely, 21128128512 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 1128128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308542976).

1128128512 is an abundant number, since it is smaller than the sum of its proper divisors (1488957440).

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

1128128512 is an equidigital number, since it uses as much as digits as its factorization.

1128128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its digits is 2560, while the sum is 31.

The square root of 1128128512 is about 33587.6243875628. The cubic root of 1128128512 is about 1041.0051032603.

It can be divided in two parts, 11281 and 28512, that added together give a palindrome (39793).

The spelling of 1128128512 in words is "one billion, one hundred twenty-eight million, one hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 191 206 224 256 382 412 448 512 721 764 824 896 1024 1337 1442 1528 1648 1792 2048 2674 2884 3056 3296 3584 4096 5348 5768 6112 6592 7168 8192 10696 11536 12224 13184 14336 19673 21392 23072 24448 26368 28672 39346 42784 46144 48896 52736 57344 78692 85568 92288 97792 105472 137711 157384 171136 184576 195584 210944 275422 314768 342272 369152 391168 421888 550844 629536 684544 738304 782336 843776 1101688 1259072 1369088 1476608 1564672 2203376 2518144 2738176 2953216 4406752 5036288 5476352 5906432 8813504 10072576 10952704 17627008 20145152 35254016 40290304 70508032 80580608 141016064 161161216 282032128 564064256 1128128512