Search a number
-
+
19050202128 = 2435373910133
BaseRepresentation
bin10001101111011110…
…110000010000010000
31211011122022112111210
4101233132300100100
5303003322432003
612430155540120
71243040021616
oct215736602020
954148275453
1019050202128
118096384901
123837a5a640
131a47996b69
14cca0c56b6
157676a4503
hex46f7b0410

19050202128 has 80 divisors (see below), whose sum is σ = 50214375360. Its totient is φ = 6221210112.

The previous prime is 19050202069. The next prime is 19050202139. The reversal of 19050202128 is 82120205091.

It is a super-2 number, since 2×190502021282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19050202095 and 19050202104.

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, 1874950 + ... + 1885082.

It is an arithmetic number, because the mean of its divisors is an integer number (627679692).

Almost surely, 219050202128 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 19050202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107187680).

19050202128 is an abundant number, since it is smaller than the sum of its proper divisors (31164173232).

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

19050202128 is a wasteful number, since it uses less digits than its factorization.

19050202128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 19050202128 in words is "nineteen billion, fifty million, two hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 739 848 1272 1478 2217 2544 2956 4434 5912 8868 10133 11824 17736 20266 30399 35472 39167 40532 60798 78334 81064 117501 121596 156668 162128 235002 243192 313336 470004 486384 537049 626672 940008 1074098 1611147 1880016 2148196 3222294 4296392 6444588 7488287 8592784 12889176 14976574 22464861 25778352 29953148 44929722 59906296 89859444 119812592 179718888 359437776 396879211 793758422 1190637633 1587516844 2381275266 3175033688 4762550532 6350067376 9525101064 19050202128