Search a number
-
+
23128358000 = 2453111955331
BaseRepresentation
bin10101100010100011…
…101011110001110000
32012200212002022122212
4111202203223301300
5334331324424000
614343000551252
71446066541106
oct254243536160
965625068585
1023128358000
11989939a760
124595782528
132247851447
141195981c76
15905716c35
hex5628ebc70

23128358000 has 160 divisors (see below), whose sum is σ = 64220532480. Its totient is φ = 7967520000.

The previous prime is 23128357979. The next prime is 23128358051. The reversal of 23128358000 is 85382132.

It is a congruent number.

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, 390335 + ... + 445665.

It is an arithmetic number, because the mean of its divisors is an integer number (401378328).

Almost surely, 223128358000 is an apocalyptic number.

23128358000 is a gapful number since it is divisible by the number (20) 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 23128358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32110266240).

23128358000 is an abundant number, since it is smaller than the sum of its proper divisors (41092174480).

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

23128358000 is a wasteful number, since it uses less digits than its factorization.

23128358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55384 (or 55368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 23128358000 in words is "twenty-three billion, one hundred twenty-eight million, three hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 275 304 380 400 418 440 475 500 550 760 836 880 950 1000 1045 1100 1375 1520 1672 1900 2000 2090 2200 2375 2750 3344 3800 4180 4400 4750 5225 5500 7600 8360 9500 10450 11000 16720 19000 20900 22000 26125 38000 41800 52250 55331 83600 104500 110662 209000 221324 276655 418000 442648 553310 608641 885296 1051289 1106620 1217282 1383275 2102578 2213240 2434564 2766550 3043205 4205156 4426480 4869128 5256445 5533100 6086410 6916375 8410312 9738256 10512890 11066200 11564179 12172820 13832750 15216025 16820624 21025780 22132400 23128358 24345640 26282225 27665500 30432050 42051560 46256716 48691280 52564450 55331000 57820895 60864100 76080125 84103120 92513432 105128900 110662000 115641790 121728200 131411125 152160250 185026864 210257800 231283580 243456400 262822250 289104475 304320500 420515600 462567160 525644500 578208950 608641000 925134320 1051289000 1156417900 1217282000 1445522375 2102578000 2312835800 2891044750 4625671600 5782089500 11564179000 23128358000