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11097006284 = 2273135571117
BaseRepresentation
bin10100101010110111…
…01110000011001100
31001122100222022211202
422111123232003030
5140211313200114
65033051205032
7541664666000
oct122533560314
931570868752
1011097006284
114784a75081
122198446778
13107b060610
14773b22700
1544e351cde
hex2956ee0cc

11097006284 has 96 divisors (see below), whose sum is σ = 24454684800. Its totient is φ = 4378219776.

The previous prime is 11097006247. The next prime is 11097006311. The reversal of 11097006284 is 48260079011.

11097006284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9934094 + ... + 9935210.

It is an arithmetic number, because the mean of its divisors is an integer number (254736300).

Almost surely, 211097006284 is an apocalyptic number.

11097006284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11097006284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227342400).

11097006284 is an abundant number, since it is smaller than the sum of its proper divisors (13357678516).

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

11097006284 is a wasteful number, since it uses less digits than its factorization.

11097006284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 11097006284 in words is "eleven billion, ninety-seven million, six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 557 637 686 1114 1117 1274 1372 2228 2234 2548 3899 4459 4468 7241 7798 7819 8918 14482 14521 15596 15638 17836 27293 28964 29042 31276 50687 54586 54733 58084 101374 101647 109172 109466 191051 202748 203294 218932 354809 382102 383131 406588 622169 709618 711529 764204 766262 1244338 1419236 1423058 1532524 2483663 2488676 2846116 4355183 4967326 4980703 8088197 8710366 9934652 9961406 16176394 17420732 19922812 30486281 32352788 56617379 60972562 113234758 121945124 213403967 226469516 396321653 426807934 792643306 853615868 1585286612 2774251571 5548503142 11097006284