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11075215744 = 27314795827
BaseRepresentation
bin10100101000010001…
…00110000110000000
31001120211222020211201
422110020212012000
5140140223400434
65030552150544
7541311531505
oct122410460600
931524866751
1011075215744
11477374156a
122191098454
1310766a11c8
14770c8d4ac
1544c49a614
hex294226180

11075215744 has 64 divisors (see below), whose sum is σ = 22827110400. Its totient is φ = 5346869760.

The previous prime is 11075215727. The next prime is 11075215759. The reversal of 11075215744 is 44751257011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110752157442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1897759 + ... + 1903585.

It is an arithmetic number, because the mean of its divisors is an integer number (356673600).

Almost surely, 211075215744 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 11075215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413555200).

11075215744 is an abundant number, since it is smaller than the sum of its proper divisors (11751894656).

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

11075215744 is an equidigital number, since it uses as much as digits as its factorization.

11075215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The spelling of 11075215744 in words is "eleven billion, seventy-five million, two hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 479 496 958 992 1916 1984 3832 3968 5827 7664 11654 14849 15328 23308 29698 30656 46616 59396 61312 93232 118792 180637 186464 237584 361274 372928 475168 722548 745856 950336 1445096 1900672 2791133 2890192 5582266 5780384 11164532 11560768 22329064 23121536 44658128 86525123 89316256 173050246 178632512 346100492 357265024 692200984 1384401968 2768803936 5537607872 11075215744