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11039000832 = 283223920047
BaseRepresentation
bin10100100011111100…
…11100100100000000
31001111022211100022200
422101332130210000
5140101441011312
65023220033200
7540361646616
oct122176344400
931438740280
1011039000832
114755256792
122180b32800
13106c031472
1476a1436b6
154491e50dc
hex291f9c900

11039000832 has 108 divisors (see below), whose sum is σ = 31962927360. Its totient is φ = 3664088064.

The previous prime is 11039000803. The next prime is 11039000839. The reversal of 11039000832 is 23800093011.

It is a junction number, because it is equal to n+sod(n) for n = 11039000796 and 11039000805.

It is not an unprimeable number, because it can be changed into a prime (11039000839) 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, 540633 + ... + 560679.

Almost surely, 211039000832 is an apocalyptic number.

11039000832 is a gapful number since it is divisible by the number (12) 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 11039000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981463680).

11039000832 is an abundant number, since it is smaller than the sum of its proper divisors (20923926528).

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

11039000832 is a wasteful number, since it uses less digits than its factorization.

11039000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20308 (or 20291 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11039000832 its reverse (23800093011), we get a palindrome (34839093843).

The spelling of 11039000832 in words is "eleven billion, thirty-nine million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 576 717 768 956 1152 1434 1912 2151 2304 2868 3824 4302 5736 7648 8604 11472 15296 17208 20047 22944 30592 34416 40094 45888 60141 61184 68832 80188 91776 120282 137664 160376 180423 183552 240564 275328 320752 360846 481128 550656 641504 721692 962256 1283008 1443384 1924512 2566016 2886768 3849024 4791233 5132032 5773536 7698048 9582466 11547072 14373699 15396096 19164932 23094144 28747398 38329864 43121097 46188288 57494796 76659728 86242194 114989592 153319456 172484388 229979184 306638912 344968776 459958368 613277824 689937552 919916736 1226555648 1379875104 1839833472 2759750208 3679666944 5519500416 11039000832