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126707640200 = 235217208317891
BaseRepresentation
bin111011000000001011…
…1010010011110001000
3110010001110210001000222
41312000113102132020
54033444123441300
6134113024245212
712103635112511
oct1660027223610
9403043701028
10126707640200
1149811183519
1220682170808
13bc43a68c3b
1461c011ba08
153468cbe785
hex1d805d2788

126707640200 has 96 divisors (see below), whose sum is σ = 312091587360. Its totient is φ = 47676134400.

The previous prime is 126707640151. The next prime is 126707640289. The reversal of 126707640200 is 2046707621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7073255 + ... + 7091145.

It is an arithmetic number, because the mean of its divisors is an integer number (3250954035).

Almost surely, 2126707640200 is an apocalyptic number.

126707640200 is a gapful number since it is divisible by the number (10) 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 126707640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156045793680).

126707640200 is an abundant number, since it is smaller than the sum of its proper divisors (185383947160).

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

126707640200 is a wasteful number, since it uses less digits than its factorization.

126707640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20007 (or 19998 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 126707640200 in words is "one hundred twenty-six billion, seven hundred seven million, six hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2083 3400 4166 8332 10415 16664 17891 20830 35411 35782 41660 52075 70822 71564 83320 89455 104150 141644 143128 177055 178910 208300 283288 304147 354110 357820 416600 447275 608294 708220 715640 885275 894550 1216588 1416440 1520735 1770550 1789100 2433176 3041470 3541100 3578200 6082940 7082200 7603675 12165880 15207350 30414700 37266953 60829400 74533906 149067812 186334765 298135624 372669530 633538201 745339060 931673825 1267076402 1490678120 1863347650 2534152804 3167691005 3726695300 5068305608 6335382010 7453390600 12670764020 15838455025 25341528040 31676910050 63353820100 126707640200