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11006120464 = 243127198161
BaseRepresentation
bin10100100000000010…
…00001001000010000
31001102000221211221021
422100001001020100
5140020031323324
65020043205224
7536512323523
oct122001011020
931360854837
1011006120464
114738739229
122171b16814
13106528b421
14765a24bba
1544639cae4
hex290041210

11006120464 has 40 divisors (see below), whose sum is σ = 22023034880. Its totient is φ = 5322931200.

The previous prime is 11006120459. The next prime is 11006120479. The reversal of 11006120464 is 46402160011.

It is a super-2 number, since 2×110061204642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344544 + ... + 1352704.

It is an arithmetic number, because the mean of its divisors is an integer number (550575872).

Almost surely, 211006120464 is an apocalyptic number.

It is an amenable number.

11006120464 is an abundant number, since it is smaller than the sum of its proper divisors (11016914416).

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

11006120464 is a wasteful number, since it uses less digits than its factorization.

11006120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10919 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11006120464 its reverse (46402160011), we get a palindrome (57408280475).

The spelling of 11006120464 in words is "eleven billion, six million, one hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 2719 5438 8161 10876 16322 21752 32644 43504 65288 84289 130576 168578 252991 337156 505982 674312 1011964 1348624 2023928 4047856 22189759 44379518 88759036 177518072 355036144 687882529 1375765058 2751530116 5503060232 11006120464