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11239365680 = 245374780789
BaseRepresentation
bin10100111011110101…
…10001110000110000
31002000021211221012222
422131322301300300
5141004234200210
65055134340212
7545344013654
oct123572616060
932007757188
1011239365680
114848368874
12221805a668
1310a16b584a
147889bca64
1545bac2655
hex29deb1c30

11239365680 has 80 divisors (see below), whose sum is σ = 27409138560. Its totient is φ = 4281117696.

The previous prime is 11239365647. The next prime is 11239365701. The reversal of 11239365680 is 8656393211.

11239365680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 98726 + ... + 179514.

It is an arithmetic number, because the mean of its divisors is an integer number (342614232).

Almost surely, 211239365680 is an apocalyptic number.

11239365680 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 11239365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704569280).

11239365680 is an abundant number, since it is smaller than the sum of its proper divisors (16169772880).

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

11239365680 is a wasteful number, since it uses less digits than its factorization.

11239365680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80886 (or 80880 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 11239365680 in words is "eleven billion, two hundred thirty-nine million, three hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 185 188 235 296 370 376 470 592 740 752 940 1480 1739 1880 2960 3478 3760 6956 8695 13912 17390 27824 34780 69560 80789 139120 161578 323156 403945 646312 807890 1292624 1615780 2989193 3231560 3797083 5978386 6463120 7594166 11956772 14945965 15188332 18985415 23913544 29891930 30376664 37970830 47827088 59783860 60753328 75941660 119567720 140492071 151883320 239135440 280984142 303766640 561968284 702460355 1123936568 1404920710 2247873136 2809841420 5619682840 11239365680