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11714181296 = 24173112710939
BaseRepresentation
bin10101110100011100…
…00011100010110000
31010020101022001210112
422322032003202300
5142442312300141
65214215320452
7563200620026
oct127216034260
933211261715
1011714181296
114a71393874
12232b080128
131148b9082c
147d1a9a716
154886137eb
hex2ba3838b0

11714181296 has 80 divisors (see below), whose sum is σ = 25004113920. Its totient is φ = 5292241920.

The previous prime is 11714181289. The next prime is 11714181307. The reversal of 11714181296 is 69218141711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065395 + ... + 1076333.

It is an arithmetic number, because the mean of its divisors is an integer number (312551424).

Almost surely, 211714181296 is an apocalyptic number.

11714181296 is a gapful number since it is divisible by the number (16) 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 11714181296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502056960).

11714181296 is an abundant number, since it is smaller than the sum of its proper divisors (13289932624).

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

11714181296 is a wasteful number, since it uses less digits than its factorization.

11714181296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11116 counting only the distinct ones).

The product of its digits is 24192, while the sum is 41.

The spelling of 11714181296 in words is "eleven billion, seven hundred fourteen million, one hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 127 136 248 254 272 496 508 527 1016 1054 2032 2108 2159 3937 4216 4318 7874 8432 8636 10939 15748 17272 21878 31496 34544 43756 62992 66929 87512 133858 175024 185963 267716 339109 371926 535432 678218 743852 1070864 1356436 1389253 1487704 2712872 2778506 2975408 5425744 5557012 5764853 11114024 11529706 22228048 23059412 23617301 43066843 46118824 47234602 86133686 92237648 94469204 172267372 188938408 344534744 377876816 689069488 732136331 1464272662 2928545324 5857090648 11714181296