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11000498912 = 2513197269499
BaseRepresentation
bin10100011111010111…
…00100101011100000
31001101122101020121122
422033223210223200
5140012111431122
65015322511412
7536413461254
oct121753445340
931348336548
1011000498912
114735549717
122170065568
131064070770
14764da0264
15445b3c142
hex28fae4ae0

11000498912 has 96 divisors (see below), whose sum is σ = 23575860000. Its totient is φ = 5022517248.

The previous prime is 11000498851. The next prime is 11000498933. The reversal of 11000498912 is 21989400011.

11000498912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110004989123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22044839 + ... + 22045337.

It is an arithmetic number, because the mean of its divisors is an integer number (245581875).

Almost surely, 211000498912 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 11000498912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787930000).

11000498912 is an abundant number, since it is smaller than the sum of its proper divisors (12575361088).

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

11000498912 is a wasteful number, since it uses less digits than its factorization.

11000498912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

Adding to 11000498912 its reverse (21989400011), we get a palindrome (32989898923).

The spelling of 11000498912 in words is "eleven billion, four hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 269 394 416 499 538 788 998 1076 1576 1996 2152 2561 3152 3497 3992 4304 5122 6304 6487 6994 7984 8608 10244 12974 13988 15968 20488 25948 27976 40976 51896 52993 55952 81952 98303 103792 105986 111904 134231 196606 207584 211972 268462 393212 423944 536924 688909 786424 847888 1073848 1277939 1377818 1572848 1695776 1745003 2147696 2555878 2755636 3145696 3490006 4295392 5111756 5511272 6980012 10223512 11022544 13960024 20447024 22045088 26443507 27920048 40894048 52887014 55840096 105774028 211548056 343765591 423096112 687531182 846192224 1375062364 2750124728 5500249456 11000498912