Search a number
-
+
26768352200 = 23522325032
BaseRepresentation
bin11000111011100001…
…001010001111001000
32120002112101011222212
4120323201022033020
5414310144232300
620144110404252
71635226145102
oct307341121710
976075334885
1026768352200
1110397045227
125230800688
1326a79c5575
14141d182572
15a6a078935
hex63b84a3c8

26768352200 has 108 divisors (see below), whose sum is σ = 65189600385. Its totient is φ = 10221442880.

The previous prime is 26768352181. The next prime is 26768352203. The reversal of 26768352200 is 225386762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 26232985156 + 535367044 = 161966^2 + 23138^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=115690.

It is not an unprimeable number, because it can be changed into a prime (26768352203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53217149 + ... + 53217651.

Almost surely, 226768352200 is an apocalyptic number.

26768352200 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 26768352200

26768352200 is an abundant number, since it is smaller than the sum of its proper divisors (38421248185).

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

26768352200 is an equidigital number, since it uses as much as digits as its factorization.

26768352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 26768352200 in words is "twenty-six billion, seven hundred sixty-eight million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 503 529 575 920 1006 1058 1150 2012 2116 2300 2515 2645 4024 4232 4600 5030 5290 10060 10580 11569 12575 13225 20120 21160 23138 25150 26450 46276 50300 52900 57845 92552 100600 105800 115690 231380 253009 266087 289225 462760 506018 532174 578450 1012036 1064348 1156900 1265045 1330435 2024072 2128696 2313800 2530090 2660870 5060180 5321740 5819207 6325225 6652175 10120360 10643480 11638414 12650450 13304350 23276828 25300900 26608700 29096035 46553656 50601800 53217400 58192070 116384140 133841761 145480175 232768280 267683522 290960350 535367044 581920700 669208805 1070734088 1163841400 1338417610 2676835220 3346044025 5353670440 6692088050 13384176100 26768352200