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9828103488 = 263719337889
BaseRepresentation
bin10010010011100110…
…01111010101000000
3221100221022101102220
421021303033111000
5130111443302423
64303122211040
7465356333640
oct111163172500
927327271386
109828103488
114193787685
121aa34b3a80
13c081c2b68
146933b8520
153c7c559e3
hex249ccf540

9828103488 has 112 divisors (see below), whose sum is σ = 29873082240. Its totient is φ = 2793406464.

The previous prime is 9828103469. The next prime is 9828103517. The reversal of 9828103488 is 8843018289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×98281034882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9828103488.

It is a congruent number.

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, 240448 + ... + 278336.

Almost surely, 29828103488 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 9828103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936541120).

9828103488 is an abundant number, since it is smaller than the sum of its proper divisors (20044978752).

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

9828103488 is a wasteful number, since it uses less digits than its factorization.

9828103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38104 (or 38094 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 9828103488 is about 99136.7917980000. The cubic root of 9828103488 is about 2142.0186129480.

The spelling of 9828103488 in words is "nine billion, eight hundred twenty-eight million, one hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 193 224 336 386 448 579 672 772 1158 1344 1351 1544 2316 2702 3088 4053 4632 5404 6176 8106 9264 10808 12352 16212 18528 21616 32424 37056 37889 43232 64848 75778 86464 113667 129696 151556 227334 259392 265223 303112 454668 530446 606224 795669 909336 1060892 1212448 1591338 1818672 2121784 2424896 3182676 3637344 4243568 6365352 7274688 7312577 8487136 12730704 14625154 16974272 21937731 25461408 29250308 43875462 50922816 51188039 58500616 87750924 102376078 117001232 153564117 175501848 204752156 234002464 307128234 351003696 409504312 468004928 614256468 702007392 819008624 1228512936 1404014784 1638017248 2457025872 3276034496 4914051744 9828103488