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200053358680 = 235747151100673
BaseRepresentation
bin1011101001010000011…
…1000000000001011000
3201010101001200120211211
42322110013000001120
511234202124434210
6231523033432504
720311336330450
oct2722407000130
9633331616754
10200053358680
11779299a638a
123293156b734
1315b323b2266
14997b210d60
15530ceb438a
hex2e941c0058

200053358680 has 128 divisors (see below), whose sum is σ = 528852602880. Its totient is φ = 66685132800.

The previous prime is 200053358671. The next prime is 200053358699. The reversal of 200053358680 is 86853350002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936824 + ... + 2037496.

It is an arithmetic number, because the mean of its divisors is an integer number (4131660960).

Almost surely, 2200053358680 is an apocalyptic number.

200053358680 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 200053358680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264426301440).

200053358680 is an abundant number, since it is smaller than the sum of its proper divisors (328799244200).

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

200053358680 is a wasteful number, since it uses less digits than its factorization.

200053358680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100889 (or 100885 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 200053358680 in words is "two hundred billion, fifty-three million, three hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 151 188 235 280 302 329 376 470 604 658 755 940 1057 1208 1316 1510 1645 1880 2114 2632 3020 3290 4228 5285 6040 6580 7097 8456 10570 13160 14194 21140 28388 35485 42280 49679 56776 70970 99358 100673 141940 198716 201346 248395 283880 397432 402692 496790 503365 704711 805384 993580 1006730 1409422 1987160 2013460 2818844 3523555 4026920 4731631 5637688 7047110 9463262 14094220 15201623 18926524 23658155 28188440 30403246 33121417 37853048 47316310 60806492 66242834 76008115 94632620 106411361 121612984 132485668 152016230 165607085 189265240 212822722 264971336 304032460 331214170 425645444 532056805 608064920 662428340 714476281 851290888 1064113610 1324856680 1428952562 2128227220 2857905124 3572381405 4256454440 5001333967 5715810248 7144762810 10002667934 14289525620 20005335868 25006669835 28579051240 40010671736 50013339670 100026679340 200053358680