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9703946112 = 27377195021
BaseRepresentation
bin10010000100110011…
…00111011110000000
3221001021200112112120
421002121213132000
5124333202233422
64242525124240
7462321116040
oct110231473600
927037615476
109703946112
11412a696383
121a699b9680
13bb8571863
14680ad9720
153bbdcd45c
hex242667780

9703946112 has 128 divisors (see below), whose sum is σ = 29505254400. Its totient is φ = 2768148480.

The previous prime is 9703946111. The next prime is 9703946129. The reversal of 9703946112 is 2116493079.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9703946111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930162 + ... + 1935182.

It is an arithmetic number, because the mean of its divisors is an integer number (230509800).

Almost surely, 29703946112 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 9703946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752627200).

9703946112 is an abundant number, since it is smaller than the sum of its proper divisors (19801308288).

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

9703946112 is a wasteful number, since it uses less digits than its factorization.

9703946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9703946112 is about 98508.6093293373. The cubic root of 9703946112 is about 2132.9603976568.

The spelling of 9703946112 in words is "nine billion, seven hundred three million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 719 896 1344 1438 2157 2688 2876 4314 5021 5033 5752 8628 10042 10066 11504 15063 15099 17256 20084 20132 23008 30126 30198 34512 35147 40168 40264 46016 60252 60396 69024 70294 80336 80528 92032 105441 120504 120792 138048 140588 160672 161056 210882 241008 241584 276096 281176 321344 322112 421764 482016 483168 562352 642688 644224 843528 964032 966336 1124704 1687056 1928064 1932672 2249408 3374112 3610099 4498816 6748224 7220198 10830297 13496448 14440396 21660594 25270693 28880792 43321188 50541386 57761584 75812079 86642376 101082772 115523168 151624158 173284752 202165544 231046336 303248316 346569504 404331088 462092672 606496632 693139008 808662176 1212993264 1386278016 1617324352 2425986528 3234648704 4851973056 9703946112