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11239561944 = 2334137916889
BaseRepresentation
bin10100111011110111…
…00001101011011000
31002000022012220110000
422131323201223120
5141004311440234
65055142453000
7545345462112
oct123573415330
932008186400
1011239561944
114848492276
122218134160
1310a1753c90
14788a303b2
1545bb10899
hex29dee1ad8

11239561944 has 160 divisors (see below), whose sum is σ = 34333992000. Its totient is φ = 3414348288.

The previous prime is 11239561943. The next prime is 11239561969. The reversal of 11239561944 is 44916593211.

11239561944 is a `hidden beast` number, since 1 + 1 + 23 + 9 + 5 + 619 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11239561944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239561943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 657052 + ... + 673940.

It is an arithmetic number, because the mean of its divisors is an integer number (214587450).

Almost surely, 211239561944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11239561944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166996000).

11239561944 is an abundant number, since it is smaller than the sum of its proper divisors (23094430056).

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

11239561944 is a wasteful number, since it uses less digits than its factorization.

11239561944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999 (or 16986 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 11239561944 in words is "eleven billion, two hundred thirty-nine million, five hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 81 104 108 117 156 158 162 216 234 237 312 316 324 351 468 474 632 648 702 711 936 948 1027 1053 1404 1422 1896 2054 2106 2133 2808 2844 3081 4108 4212 4266 5688 6162 6399 8216 8424 8532 9243 12324 12798 16889 17064 18486 24648 25596 27729 33778 36972 50667 51192 55458 67556 73944 83187 101334 110916 135112 152001 166374 202668 219557 221832 304002 332748 405336 439114 456003 608004 658671 665496 878228 912006 1216008 1317342 1334231 1368009 1756456 1824012 1976013 2634684 2668462 2736018 3648024 3952026 4002693 5269368 5336924 5472036 5928039 7904052 8005386 10673848 10944072 11856078 12008079 15808104 16010772 17345003 17784117 23712156 24016158 32021544 34690006 35568234 36024237 47424312 48032316 52035009 69380012 71136468 72048474 96064632 104070018 108072711 138760024 142272936 144096948 156105027 208140036 216145422 288193896 312210054 416280072 432290844 468315081 624420108 864581688 936630162 1248840216 1404945243 1873260324 2809890486 3746520648 5619780972 11239561944