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11056286112 = 253613475441
BaseRepresentation
bin10100100110000000…
…11000100110100000
31001112112100112021020
422103000120212200
5140120402123422
65025034325440
7540661611204
oct122300304640
931475315236
1011056286112
114763a92443
122186889880
1310727a4041
1476c562b04
1544a9ab95c
hex2930189a0

11056286112 has 96 divisors (see below), whose sum is σ = 29588981184. Its totient is φ = 3613900800.

The previous prime is 11056286089. The next prime is 11056286113. The reversal of 11056286112 is 21168265011.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11056286113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2029312 + ... + 2034752.

It is an arithmetic number, because the mean of its divisors is an integer number (308218554).

Almost surely, 211056286112 is an apocalyptic number.

11056286112 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 11056286112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794490592).

11056286112 is an abundant number, since it is smaller than the sum of its proper divisors (18532695072).

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

11056286112 is a wasteful number, since it uses less digits than its factorization.

11056286112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11056286112 in words is "eleven billion, fifty-six million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 347 366 488 694 732 976 1041 1388 1464 1952 2082 2776 2928 4164 5441 5552 5856 8328 10882 11104 16323 16656 21167 21764 32646 33312 42334 43528 63501 65292 84668 87056 127002 130584 169336 174112 254004 261168 331901 338672 508008 522336 663802 677344 995703 1016016 1327604 1888027 1991406 2032032 2655208 3776054 3982812 5310416 5664081 7552108 7965624 10620832 11328162 15104216 15931248 22656324 30208432 31862496 45312648 60416864 90625296 115169647 181250592 230339294 345508941 460678588 691017882 921357176 1382035764 1842714352 2764071528 3685428704 5528143056 11056286112