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11123042544 = 2432314357947
BaseRepresentation
bin10100101101111110…
…00010100011110000
31001201011222002212200
422112333002203300
5140234444330134
65035421223200
7542432205315
oct122677024360
931634862780
1011123042544
114798738549
1221a5101b00
1310835783a3
1477737cd0c
15451796499
hex296fc28f0

11123042544 has 120 divisors (see below), whose sum is σ = 32881085952. Its totient is φ = 3504574080.

The previous prime is 11123042543. The next prime is 11123042549. The reversal of 11123042544 is 44524032111.

11123042544 is a `hidden beast` number, since 1 + 1 + 1 + 230 + 425 + 4 + 4 = 666.

11123042544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123042543) by changing a digit.

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, 162979 + ... + 220925.

Almost surely, 211123042544 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 11123042544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440542976).

11123042544 is an abundant number, since it is smaller than the sum of its proper divisors (21758043408).

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

11123042544 is a wasteful number, since it uses less digits than its factorization.

11123042544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58035 (or 58026 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11123042544 its reverse (44524032111), we get a palindrome (55647074655).

The spelling of 11123042544 in words is "eleven billion, one hundred twenty-three million, forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1333 1488 1548 2064 2232 2666 3096 3999 4464 5332 6192 7998 10664 11997 15996 21328 23994 31992 47988 57947 63984 95976 115894 173841 191952 231788 347682 463576 521523 695364 927152 1043046 1390728 1796357 2086092 2491721 2781456 3592714 4172184 4983442 5389071 7185428 7475163 8344368 9966884 10778142 14370856 14950326 16167213 19933768 21556284 22425489 28741712 29900652 32334426 39867536 43112568 44850978 59801304 64668852 77243351 86225136 89701956 119602608 129337704 154486702 179403912 231730053 258675408 308973404 358807824 463460106 617946808 695190159 926920212 1235893616 1390380318 1853840424 2780760636 3707680848 5561521272 11123042544