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16566828404 = 227531011071033
BaseRepresentation
bin11110110110111010…
…11011110101110100
31120202120102002012012
433123131123311310
5232412102002104
611335524343352
71124353501160
oct173335336564
946676362165
1016566828404
1170315a7425
123264244b58
131740339359
14b32361ca0
1566e65ed6e
hex3db75bd74

16566828404 has 96 divisors (see below), whose sum is σ = 34445005056. Its totient is φ = 6826060800.

The previous prime is 16566828379. The next prime is 16566828407. The reversal of 16566828404 is 40482866561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16566828407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16037072 + ... + 16038104.

It is an arithmetic number, because the mean of its divisors is an integer number (358802136).

Almost surely, 216566828404 is an apocalyptic number.

16566828404 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 16566828404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222502528).

16566828404 is an abundant number, since it is smaller than the sum of its proper divisors (17878176652).

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

16566828404 is a wasteful number, since it uses less digits than its factorization.

16566828404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 16566828404 in words is "sixteen billion, five hundred sixty-six million, eight hundred twenty-eight thousand, four hundred four".

Divisors: 1 2 4 7 14 28 53 101 106 107 202 212 214 371 404 428 707 742 749 1033 1414 1484 1498 2066 2828 2996 4132 5353 5671 7231 10706 10807 11342 14462 21412 21614 22684 28924 37471 39697 43228 54749 74942 75649 79394 104333 109498 110531 149884 151298 158788 208666 218996 221062 302596 383243 417332 442124 572771 730331 766486 773717 1145542 1460662 1532972 1547434 2291084 2921324 3094868 4009397 5529649 5858143 8018794 11059298 11163631 11716286 16037588 22118596 22327262 23432572 38707543 41007001 44654524 77415086 78145417 82014002 154830172 156290834 164028004 312581668 591672443 1183344886 2366689772 4141707101 8283414202 16566828404