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11019706656 = 25377123253
BaseRepresentation
bin10100100001101001…
…10110000100100000
31001102222112002200120
422100310312010200
5140032021103111
65021250320240
7540035650440
oct122064660440
931388462616
1011019706656
114745378792
122176589080
1310680373aa
14767760120
15447683406
hex290d36120

11019706656 has 144 divisors (see below), whose sum is σ = 33541607232. Its totient is φ = 3103188480.

The previous prime is 11019706639. The next prime is 11019706693. The reversal of 11019706656 is 65660791011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3385926 + ... + 3389178.

It is an arithmetic number, because the mean of its divisors is an integer number (232927828).

Almost surely, 211019706656 is an apocalyptic number.

11019706656 is a gapful number since it is divisible by the number (16) 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 11019706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770803616).

11019706656 is an abundant number, since it is smaller than the sum of its proper divisors (22521900576).

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

11019706656 is an equidigital number, since it uses as much as digits as its factorization.

11019706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 11019706656 in words is "eleven billion, nineteen million, seven hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3253 3408 3976 5041 5964 6506 6816 7952 9759 10082 11928 13012 15123 15904 19518 20164 22771 23856 26024 30246 35287 39036 40328 45542 47712 52048 60492 68313 70574 78072 80656 91084 104096 105861 120984 136626 141148 156144 161312 182168 211722 230963 241968 273252 282296 312288 364336 423444 461926 483936 546504 564592 692889 728672 846888 923852 1093008 1129184 1385778 1616741 1693776 1847704 2186016 2771556 3233482 3387552 3695408 4850223 5543112 6466964 7390816 9700446 11086224 12933928 16398373 19400892 22172448 25867856 32796746 38801784 49195119 51735712 65593492 77603568 98390238 114788611 131186984 155207136 196780476 229577222 262373968 344365833 393560952 459154444 524747936 688731666 787121904 918308888 1377463332 1574243808 1836617776 2754926664 3673235552 5509853328 11019706656