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11140654600 = 2352457121889
BaseRepresentation
bin10100110000000100…
…01110011000001000
31001202102002220002001
422120002032120020
5140304001421400
65041250520344
7543035000365
oct123002163010
931672086061
1011140654600
1147a7677769
1221aab960b4
13108710391a
1477984546c
154530c4a6a
hex29808e608

11140654600 has 48 divisors (see below), whose sum is σ = 25958913300. Its totient is φ = 4446474240.

The previous prime is 11140654597. The next prime is 11140654631. The reversal of 11140654600 is 645604111.

It can be written as a sum of positive squares in 6 ways, for example, as 2654928676 + 8485725924 = 51526^2 + 92118^2 .

It is a super-2 number, since 2×111406546002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30456 + ... + 152344.

Almost surely, 211140654600 is an apocalyptic number.

11140654600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140654600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979456650).

11140654600 is an abundant number, since it is smaller than the sum of its proper divisors (14818258700).

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

11140654600 is a wasteful number, since it uses less digits than its factorization.

11140654600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122362 (or 122353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11140654600 in words is "eleven billion, one hundred forty million, six hundred fifty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 457 914 1828 2285 3656 4570 9140 11425 18280 22850 45700 91400 121889 243778 487556 609445 975112 1218890 2437780 3047225 4875560 6094450 12188900 24377800 55703273 111406546 222813092 278516365 445626184 557032730 1114065460 1392581825 2228130920 2785163650 5570327300 11140654600