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1141685568 = 26321982093
BaseRepresentation
bin100010000001100…
…1011110101000000
32221120021122011200
41010003023311000
54314232414233
6305142141200
740202111232
oct10403136500
92846248150
101141685568
115364a72a1
1227a421800
131526b77ba
14ab8b0252
156a36c313
hex440cbd40

1141685568 has 42 divisors (see below), whose sum is σ = 3272437194. Its totient is φ = 380561664.

The previous prime is 1141685563. The next prime is 1141685581. The reversal of 1141685568 is 8655861411.

1141685568 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 85 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 832207104 + 309478464 = 28848^2 + 17592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141685563) 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 5 ways as a sum of consecutive naturals, for example, 990471 + ... + 991622.

Almost surely, 21141685568 is an apocalyptic number.

1141685568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1141685568 is an abundant number, since it is smaller than the sum of its proper divisors (2130751626).

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

1141685568 is a wasteful number, since it uses less digits than its factorization.

1141685568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982111 (or 1982098 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1141685568 is about 33788.8379202363. The cubic root of 1141685568 is about 1045.1585324529.

The spelling of 1141685568 in words is "one billion, one hundred forty-one million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1982093 3964186 5946279 7928372 11892558 15856744 17838837 23785116 31713488 35677674 47570232 63426976 71355348 95140464 126853952 142710696 190280928 285421392 380561856 570842784 1141685568