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11241205344 = 253239031963
BaseRepresentation
bin10100111100000011…
…10010111001100000
31002000102022101202200
422132001302321200
5141010222032334
65055242013200
7545365445265
oct123601627140
932012271680
1011241205344
114849404a56
1222187a7200
1310a1baacc5
14788d3b26c
1545bd37799
hex29e072e60

11241205344 has 36 divisors (see below), whose sum is σ = 31967178516. Its totient is φ = 3747068352.

The previous prime is 11241205303. The next prime is 11241205379. The reversal of 11241205344 is 44350214211.

11241205344 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 120 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19515694 + ... + 19516269.

It is an arithmetic number, because the mean of its divisors is an integer number (887977181).

Almost surely, 211241205344 is an apocalyptic number.

It is an amenable number.

11241205344 is an abundant number, since it is smaller than the sum of its proper divisors (20725973172).

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

11241205344 is a wasteful number, since it uses less digits than its factorization.

11241205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031979 (or 39031968 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11241205344 its reverse (44350214211), we get a palindrome (55591419555).

The spelling of 11241205344 in words is "eleven billion, two hundred forty-one million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39031963 78063926 117095889 156127852 234191778 312255704 351287667 468383556 624511408 702575334 936767112 1249022816 1405150668 1873534224 2810301336 3747068448 5620602672 11241205344