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10756800940 = 22559127179401
BaseRepresentation
bin10100000010010011…
…11100000110101100
31000202122211002211211
422001021330012230
5134012220112230
64535215324204
7530364204454
oct120111740654
930678732754
1010756800940
11461aa2a836
122102520664
131025726692
14740884d64
1542e55042a
hex28127c1ac

10756800940 has 96 divisors (see below), whose sum is σ = 23340441600. Its totient is φ = 4162636800.

The previous prime is 10756800917. The next prime is 10756800941. The reversal of 10756800940 is 4900865701.

It is a junction number, because it is equal to n+sod(n) for n = 10756800893 and 10756800902.

It is not an unprimeable number, because it can be changed into a prime (10756800941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26824740 + ... + 26825140.

It is an arithmetic number, because the mean of its divisors is an integer number (243129600).

Almost surely, 210756800940 is an apocalyptic number.

10756800940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10756800940 is an abundant number, since it is smaller than the sum of its proper divisors (12583640660).

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

10756800940 is a wasteful number, since it uses less digits than its factorization.

10756800940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 10756800940 in words is "ten billion, seven hundred fifty-six million, eight hundred thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 59 118 127 179 236 254 295 358 401 508 590 635 716 802 895 1180 1270 1604 1790 2005 2540 3580 4010 7493 8020 10561 14986 21122 22733 23659 29972 37465 42244 45466 47318 50927 52805 71779 74930 90932 94636 101854 105610 113665 118295 143558 149860 203708 211220 227330 236590 254635 287116 358895 454660 473180 509270 717790 1018540 1341247 1435580 2682494 3004693 4234961 5364988 6009386 6706235 8469922 9115933 12018772 13412470 15023465 16939844 18231866 21174805 26824940 30046930 36463732 42349610 45579665 60093860 84699220 91159330 182318660 537840047 1075680094 2151360188 2689200235 5378400470 10756800940