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11066472032 = 2572114115649
BaseRepresentation
bin10100100111001110…
…01111011001100000
31001120020112000201112
422103213033121200
5140131004101112
65030040522452
7541144313600
oct122347173140
931506460645
1011066472032
11476980a260
12218a180428
13107492c405
1476da54c00
1544b81ea22
hex2939cf660

11066472032 has 144 divisors (see below), whose sum is σ = 28324371600. Its totient is φ = 4206182400.

The previous prime is 11066472029. The next prime is 11066472049. The reversal of 11066472032 is 23027466011.

11066472032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11066472032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699344 + ... + 714992.

It is an arithmetic number, because the mean of its divisors is an integer number (196697025).

Almost surely, 211066472032 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 11066472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162185800).

11066472032 is an abundant number, since it is smaller than the sum of its proper divisors (17257899568).

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

11066472032 is a wasteful number, since it uses less digits than its factorization.

11066472032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 11066472032 in words is "eleven billion, sixty-six million, four hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 49 56 77 82 88 98 112 154 164 176 196 224 287 308 328 352 392 451 539 574 616 656 784 902 1078 1148 1232 1312 1568 1804 2009 2156 2296 2464 3157 3608 4018 4312 4592 6314 7216 8036 8624 9184 12628 14432 15649 16072 17248 22099 25256 31298 32144 44198 50512 62596 64288 88396 101024 109543 125192 172139 176792 219086 250384 344278 353584 438172 500768 641609 688556 707168 766801 876344 1204973 1283218 1377112 1533602 1752688 2409946 2566436 2754224 3067204 3505376 4491263 4819892 5132872 5508448 6134408 7057699 8434811 8982526 9639784 10265744 12268816 14115398 16869622 17965052 19279568 20531488 24537632 28230796 31438841 33739244 35930104 38559136 49403893 56461592 62877682 67478488 71860208 98807786 112923184 125755364 134956976 143720416 197615572 225846368 251510728 269913952 345827251 395231144 503021456 691654502 790462288 1006042912 1383309004 1580924576 2766618008 5533236016 11066472032