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16434141780 = 22357262114929
BaseRepresentation
bin11110100111000110…
…10001101001010100
31120102022201220100210
433103203101221110
5232124120014110
611314424405420
71121152620540
oct172343215124
946368656323
1016434141780
116a7370aa61
123227916870
13171b9bca64
14b1c8a2a20
15662ba0520
hex3d38d1a54

16434141780 has 96 divisors (see below), whose sum is σ = 52612842240. Its totient is φ = 3754690560.

The previous prime is 16434141721. The next prime is 16434141781. The reversal of 16434141780 is 8714143461.

16434141780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434141781) by changing a digit.

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, 1093356 + ... + 1108284.

It is an arithmetic number, because the mean of its divisors is an integer number (548050440).

Almost surely, 216434141780 is an apocalyptic number.

16434141780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16434141780 is an abundant number, since it is smaller than the sum of its proper divisors (36178700460).

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

16434141780 is a wasteful number, since it uses less digits than its factorization.

16434141780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17569 (or 17567 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 16434141780 in words is "sixteen billion, four hundred thirty-four million, one hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2621 5242 7863 10484 13105 14929 15726 18347 26210 29858 31452 36694 39315 44787 52420 55041 59716 73388 74645 78630 89574 91735 104503 110082 149290 157260 179148 183470 209006 220164 223935 275205 298580 313509 366940 418012 447870 522515 550410 627018 895740 1045030 1100820 1254036 1567545 2090060 3135090 6270180 39128909 78257818 117386727 156515636 195644545 234773454 273902363 391289090 469546908 547804726 586933635 782578180 821707089 1095609452 1173867270 1369511815 1643414178 2347734540 2739023630 3286828356 4108535445 5478047260 8217070890 16434141780