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11650231840 = 2551331717669
BaseRepresentation
bin10101101100110100…
…00110111000100000
31010001220222002122011
422312122012320200
5142324424404330
65204012522304
7561463223332
oct126632067040
933056862564
1011650231840
114a39285685
122311780394
131138860010
147c73b1452
15482bd082a
hex2b6686e20

11650231840 has 96 divisors (see below), whose sum is σ = 29736065520. Its totient is φ = 4287811584.

The previous prime is 11650231793. The next prime is 11650231871. The reversal of 11650231840 is 4813205611.

It can be written as a sum of positive squares in 8 ways, for example, as 81938704 + 11568293136 = 9052^2 + 107556^2 .

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, 650526 + ... + 668194.

Almost surely, 211650231840 is an apocalyptic number.

11650231840 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 11650231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868032760).

11650231840 is an abundant number, since it is smaller than the sum of its proper divisors (18085833680).

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

11650231840 is a wasteful number, since it uses less digits than its factorization.

11650231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 18006 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11650231840 in words is "eleven billion, six hundred fifty million, two hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 317 416 520 634 1040 1268 1585 2080 2536 3170 4121 5072 6340 8242 10144 12680 16484 17669 20605 25360 32968 35338 41210 50720 65936 70676 82420 88345 131872 141352 164840 176690 229697 282704 329680 353380 459394 565408 659360 706760 918788 1148485 1413520 1837576 2296970 2827040 3675152 4593940 5601073 7350304 9187880 11202146 18375760 22404292 28005365 36751520 44808584 56010730 72813949 89617168 112021460 145627898 179234336 224042920 291255796 364069745 448085840 582511592 728139490 896171680 1165023184 1456278980 2330046368 2912557960 5825115920 11650231840