Search a number
-
+
11028372864 = 273411375113
BaseRepresentation
bin10100100010101011…
…11001110110000000
31001110120211101111020
422101111321312000
5140041230412424
65022200145440
7540202423365
oct122125716600
931416741436
1011028372864
11474a257843
122179468280
131069a7cb22
1476897846c
154482e6079
hex291579d80

11028372864 has 128 divisors (see below), whose sum is σ = 30233558880. Its totient is φ = 3559587840.

The previous prime is 11028372829. The next prime is 11028372869. The reversal of 11028372864 is 46827382011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11028372869) 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, 2154372 + ... + 2159484.

Almost surely, 211028372864 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 11028372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116779440).

11028372864 is an abundant number, since it is smaller than the sum of its proper divisors (19205186016).

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

11028372864 is a wasteful number, since it uses less digits than its factorization.

11028372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11028372864 in words is "eleven billion, twenty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 274 328 384 411 492 548 656 822 984 1096 1312 1644 1968 2192 2624 3288 3936 4384 5113 5248 5617 6576 7872 8768 10226 11234 13152 15339 15744 16851 17536 20452 22468 26304 30678 33702 40904 44936 52608 61356 67404 81808 89872 122712 134808 163616 179744 209633 245424 269616 327232 359488 419266 490848 539232 628899 654464 700481 718976 838532 981696 1078464 1257798 1400962 1677064 1963392 2101443 2156928 2515596 2801924 3354128 4202886 5031192 5603848 6708256 8405772 10062384 11207696 13416512 16811544 20124768 22415392 26833024 28719721 33623088 40249536 44830784 57439442 67246176 80499072 86159163 89661568 114878884 134492352 172318326 229757768 268984704 344636652 459515536 689273304 919031072 1378546608 1838062144 2757093216 3676124288 5514186432 11028372864