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11604343000 = 235331137313
BaseRepresentation
bin10101100111010110…
…00011100011011000
31002221201121200222111
422303223003203120
5142231202434000
65155253202104
7560365200535
oct126353034330
932851550874
1011604343000
114a15392718
1222ba330334
13112c1b3c63
147c1267d8c
1547db68cba
hex2b3ac38d8

11604343000 has 64 divisors (see below), whose sum is σ = 27242205120. Its totient is φ = 4626688000.

The previous prime is 11604342989. The next prime is 11604343007. The reversal of 11604343000 is 34340611.

11604343000 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 (11604343007) 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 15 ways as a sum of consecutive naturals, for example, 292344 + ... + 329656.

It is an arithmetic number, because the mean of its divisors is an integer number (425659455).

Almost surely, 211604343000 is an apocalyptic number.

11604343000 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 11604343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621102560).

11604343000 is an abundant number, since it is smaller than the sum of its proper divisors (15637862120).

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

11604343000 is a wasteful number, since it uses less digits than its factorization.

11604343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37645 (or 37631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11604343000 its reverse (34340611), we get a palindrome (11638683611).

The spelling of 11604343000 in words is "eleven billion, six hundred four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 311 500 622 1000 1244 1555 2488 3110 6220 7775 12440 15550 31100 37313 38875 62200 74626 77750 149252 155500 186565 298504 311000 373130 746260 932825 1492520 1865650 3731300 4664125 7462600 9328250 11604343 18656500 23208686 37313000 46417372 58021715 92834744 116043430 232086860 290108575 464173720 580217150 1160434300 1450542875 2320868600 2901085750 5802171500 11604343000