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11123457888 = 2531912175011
BaseRepresentation
bin10100101110000001…
…00111111101100000
31001201012202012121210
422113000213331200
5140240101123023
65035434150120
7542435555244
oct122700477540
931635665553
1011123457888
1147989a1604
1221a5282340
13108369245a
1477744a424
15451829593
hex297027f60

11123457888 has 96 divisors (see below), whose sum is σ = 30767264640. Its totient is φ = 3509084160.

The previous prime is 11123457887. The next prime is 11123457929. The reversal of 11123457888 is 88875432111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111234578882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123457883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217303 + ... + 2222313.

It is an arithmetic number, because the mean of its divisors is an integer number (320492340).

Almost surely, 211123457888 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 11123457888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383632320).

11123457888 is an abundant number, since it is smaller than the sum of its proper divisors (19643806752).

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

11123457888 is a wasteful number, since it uses less digits than its factorization.

11123457888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6252 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

Adding to 11123457888 its reverse (88875432111), we get a palindrome (99998889999).

The spelling of 11123457888 in words is "eleven billion, one hundred twenty-three million, four hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1217 1824 2434 3651 4868 5011 7302 9736 10022 14604 15033 19472 20044 23123 29208 30066 38944 40088 46246 58416 60132 69369 80176 92492 95209 116832 120264 138738 160352 184984 190418 240528 277476 285627 369968 380836 481056 554952 571254 739936 761672 1109904 1142508 1523344 2219808 2285016 3046688 4570032 6098387 9140064 12196774 18295161 24393548 36590322 48787096 73180644 97574192 115869353 146361288 195148384 231738706 292722576 347608059 463477412 585445152 695216118 926954824 1390432236 1853909648 2780864472 3707819296 5561728944 11123457888