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11152431024 = 243733191759
BaseRepresentation
bin10100110001011110…
…01001011110110000
31001210020021012021220
422120233021132300
5140320010243044
65042351145040
7543240046110
oct123057113660
931706235256
1011152431024
114803290549
1221b2b15180
131089697c17
1477b22d040
1545414e019
hex298bc97b0

11152431024 has 40 divisors (see below), whose sum is σ = 32926225920. Its totient is φ = 3186408768.

The previous prime is 11152431019. The next prime is 11152431041. The reversal of 11152431024 is 42013425111.

11152431024 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 11152430985 and 11152431003.

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 7 ways as a sum of consecutive naturals, for example, 16595544 + ... + 16596215.

It is an arithmetic number, because the mean of its divisors is an integer number (823155648).

Almost surely, 211152431024 is an apocalyptic number.

11152431024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11152431024 is an abundant number, since it is smaller than the sum of its proper divisors (21773794896).

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

11152431024 is a wasteful number, since it uses less digits than its factorization.

11152431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33191777 (or 33191771 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11152431024 its reverse (42013425111), we get a palindrome (53165856135).

The spelling of 11152431024 in words is "eleven billion, one hundred fifty-two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 33191759 66383518 99575277 132767036 199150554 232342313 265534072 398301108 464684626 531068144 697026939 796602216 929369252 1394053878 1593204432 1858738504 2788107756 3717477008 5576215512 11152431024