Search a number
-
+
11020635392 = 281316132053
BaseRepresentation
bin10100100001110000…
…11000110100000000
31001110001021021200012
422100320120310000
5140032240313032
65021322244052
7540046566224
oct122070306400
931401237605
1011020635392
114745952538
122176956628
1310682a1040
14767922784
154477b86b2
hex290e18d00

11020635392 has 72 divisors (see below), whose sum is σ = 23716626024. Its totient is φ = 5080817664.

The previous prime is 11020635391. The next prime is 11020635469. The reversal of 11020635392 is 29353602011.

It can be written as a sum of positive squares in 4 ways, for example, as 775956736 + 10244678656 = 27856^2 + 101216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020635391) 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 7 ways as a sum of consecutive naturals, for example, 5367038 + ... + 5369090.

Almost surely, 211020635392 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 11020635392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858313012).

11020635392 is an abundant number, since it is smaller than the sum of its proper divisors (12695990632).

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

11020635392 is a wasteful number, since it uses less digits than its factorization.

11020635392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 11020635392 in words is "eleven billion, twenty million, six hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1613 1664 2053 3226 3328 4106 6452 8212 12904 16424 20969 25808 26689 32848 41938 51616 53378 65696 83876 103232 106756 131392 167752 206464 213512 262784 335504 412928 427024 525568 671008 854048 1342016 1708096 2684032 3311489 3416192 5368064 6622978 6832384 13245956 26491912 43049357 52983824 86098714 105967648 172197428 211935296 344394856 423870592 688789712 847741184 1377579424 2755158848 5510317696 11020635392