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9945372416 = 28727691031
BaseRepresentation
bin10010100001100101…
…00101011100000000
3221200002222021011112
421100302211130000
5130332003404131
64322511502452
7501312161600
oct112062453400
927602867145
109945372416
1142439a3551
121b16827a28
13c265a1965
146a4bc2c00
153d31bc02b
hex250ca5700

9945372416 has 108 divisors (see below), whose sum is σ = 23145479280. Its totient is φ = 4252631040.

The previous prime is 9945372391. The next prime is 9945372421. The reversal of 9945372416 is 6142735499.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9645821 + ... + 9646851.

Almost surely, 29945372416 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 9945372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572739640).

9945372416 is an abundant number, since it is smaller than the sum of its proper divisors (13200106864).

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

9945372416 is a wasteful number, since it uses less digits than its factorization.

9945372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1809 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The square root of 9945372416 is about 99726.4880360278. The cubic root of 9945372416 is about 2150.5044726442.

The spelling of 9945372416 in words is "nine billion, nine hundred forty-five million, three hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 769 784 896 1031 1538 1568 1792 2062 3076 3136 4124 5383 6152 6272 7217 8248 10766 12304 12544 14434 16496 21532 24608 28868 32992 37681 43064 49216 50519 57736 65984 75362 86128 98432 101038 115472 131968 150724 172256 196864 202076 230944 263936 301448 344512 404152 461888 602896 689024 792839 808304 923776 1205792 1378048 1585678 1616608 1847552 2411584 3171356 3233216 4823168 5549873 6342712 6466432 9646336 11099746 12685424 12932864 22199492 25370848 38849111 44398984 50741696 77698222 88797968 101483392 155396444 177595936 202966784 310792888 355191872 621585776 710383744 1243171552 1420767488 2486343104 4972686208 9945372416