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11124112064 = 2613103271479
BaseRepresentation
bin10100101110000110…
…00111101011000000
31001201020222102222112
422113003013223000
5140240233041224
65035500154452
7542444251412
oct122703075300
931636872875
1011124112064
1147992a904a
1221a5538a28
131083861140
1477757a9b2
1545190830e
hex2970c7ac0

11124112064 has 112 divisors (see below), whose sum is σ = 24142110720. Its totient is φ = 5055022080.

The previous prime is 11124112063. The next prime is 11124112067. The reversal of 11124112064 is 46021142111.

It is not an unprimeable number, because it can be changed into a prime (11124112063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23223377 + ... + 23223855.

It is an arithmetic number, because the mean of its divisors is an integer number (215554560).

Almost surely, 211124112064 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 11124112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071055360).

11124112064 is an abundant number, since it is smaller than the sum of its proper divisors (13017998656).

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

11124112064 is a wasteful number, since it uses less digits than its factorization.

11124112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 11124112064 its reverse (46021142111), we get a palindrome (57145254175).

The spelling of 11124112064 in words is "eleven billion, one hundred twenty-four million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 271 412 416 479 542 824 832 958 1084 1339 1648 1916 2168 2678 3296 3523 3832 4336 5356 6227 6592 7046 7664 8672 10712 12454 14092 15328 17344 21424 24908 27913 28184 30656 42848 49337 49816 55826 56368 85696 98674 99632 111652 112736 129809 197348 199264 223304 225472 259618 362869 394696 398528 446608 519236 641381 725738 789392 893216 1038472 1282762 1451476 1578784 1687517 1786432 2076944 2565524 2902952 3157568 3375034 4153888 5131048 5805904 6750068 8307776 10262096 11611808 13370327 13500136 20524192 23223616 26740654 27000272 41048384 53481308 54000544 106962616 108001088 173814251 213925232 347628502 427850464 695257004 855700928 1390514008 2781028016 5562056032 11124112064