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9954000896 = 217719571
BaseRepresentation
bin10010100010100111…
…00000000000000000
3221200201012122012212
421101103200000000
5130341211012041
64323420441252
7501445416530
oct112123400000
927621178185
109954000896
114248857224
121b196a9228
13c28303178
146a5dcb4c0
153d3d238eb
hex2514e0000

9954000896 has 144 divisors (see below), whose sum is σ = 23991327360. Its totient is φ = 4034396160.

The previous prime is 9954000841. The next prime is 9954000907. The reversal of 9954000896 is 6980004599.

It is a super-3 number, since 3×99540008963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17432291 + ... + 17432861.

It is an arithmetic number, because the mean of its divisors is an integer number (166606440).

Almost surely, 29954000896 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 9954000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995663680).

9954000896 is an abundant number, since it is smaller than the sum of its proper divisors (14037326464).

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

9954000896 is an frugal number, since it uses more digits than its factorization.

9954000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 9954000896 is about 99769.7393802349. The cubic root of 9954000896 is about 2151.1262097512.

The spelling of 9954000896 in words is "nine billion, nine hundred fifty-four million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 571 608 896 1024 1064 1142 1216 1792 2048 2128 2284 2432 3584 3997 4096 4256 4568 4864 7168 7994 8192 8512 9136 9728 10849 14336 15988 16384 17024 18272 19456 21698 28672 31976 32768 34048 36544 38912 43396 57344 63952 65536 68096 73088 75943 77824 86792 114688 127904 131072 136192 146176 151886 155648 173584 229376 255808 272384 292352 303772 311296 347168 458752 511616 544768 584704 607544 622592 694336 917504 1023232 1089536 1169408 1215088 1245184 1388672 2046464 2179072 2338816 2430176 2490368 2777344 4092928 4358144 4677632 4860352 5554688 8185856 8716288 9355264 9720704 11109376 16371712 17432576 18710528 19441408 22218752 32743424 37421056 38882816 44437504 65486848 74842112 77765632 88875008 130973696 155531264 177750016 261947392 311062528 355500032 523894784 622125056 711000064 1244250112 1422000128 2488500224 4977000448 9954000896