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10493849828 = 227111713714629
BaseRepresentation
bin10011100010111101…
…10111000011100100
31000002100000210201202
421301132313003210
5132442411143303
64453143342032
7521022152240
oct116136670344
930070023652
1010493849828
1144a5560770
12204a451918
13cb30cb0c7
14717997420
1541640dc88
hex2717b70e4

10493849828 has 96 divisors (see below), whose sum is σ = 24421098240. Its totient is φ = 3819663360.

The previous prime is 10493849819. The next prime is 10493849939. The reversal of 10493849828 is 82894839401.

It is a super-2 number, since 2×104938498282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710018 + ... + 724646.

It is an arithmetic number, because the mean of its divisors is an integer number (254386440).

Almost surely, 210493849828 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 10493849828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210549120).

10493849828 is an abundant number, since it is smaller than the sum of its proper divisors (13927248412).

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

10493849828 is a wasteful number, since it uses less digits than its factorization.

10493849828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14803 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 10493849828 in words is "ten billion, four hundred ninety-three million, eight hundred forty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 137 154 187 238 274 308 374 476 548 748 959 1309 1507 1918 2329 2618 3014 3836 4658 5236 6028 9316 10549 14629 16303 21098 25619 29258 32606 42196 51238 58516 65212 102403 102476 160919 179333 204806 248693 321838 358666 409612 497386 643676 717332 994772 1126433 1740851 2004173 2252866 2735623 3481702 4008346 4505732 5471246 6963404 8016692 10942492 14029211 19149361 22045903 28058422 34070941 38298722 44091806 56116844 68141882 76597444 88183612 136283764 154321321 238496587 308642642 374780351 476993174 617285284 749560702 953986348 1499121404 2623462457 5246924914 10493849828