Search a number
-
+
206442727786100 = 225213792010153143
BaseRepresentation
bin101110111100001000110001…
…011101001100011001110100
31000001221201202122121102000202
4232330020301131030121310
5204024324201303123400
62011022251353300032
761324665150031661
oct5674106135143164
91001851678542022
10206442727786100
115a862961980213
121b1a1b97a04618
138b266091a4380
1438d9c4a56aa68
1518d00b0b2a4d5
hexbbc23174c674

206442727786100 has 72 divisors (see below), whose sum is σ = 488547620117760. Its totient is φ = 75260133636480.

The previous prime is 206442727786063. The next prime is 206442727786157. The reversal of 206442727786100 is 1687727244602.

206442727786100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1004973872 + ... + 1005179271.

Almost surely, 2206442727786100 is an apocalyptic number.

206442727786100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206442727786100 is an abundant number, since it is smaller than the sum of its proper divisors (282104892331660).

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

206442727786100 is a wasteful number, since it uses less digits than its factorization.

206442727786100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010153249 (or 2010153242 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 206442727786100 in words is "two hundred six trillion, four hundred forty-two billion, seven hundred twenty-seven million, seven hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1580 1975 2054 3950 4108 5135 7900 10270 20540 25675 51350 102700 2010153143 4020306286 8040612572 10050765715 20101531430 26131990859 40203062860 50253828575 52263981718 100507657150 104527963436 130659954295 158802098297 201015314300 261319908590 317604196594 522639817180 635208393188 653299771475 794010491485 1306599542950 1588020982970 2064427277861 2613199085900 3176041965940 3970052457425 4128854555722 7940104914850 8257709111444 10322136389305 15880209829700 20644272778610 41288545557220 51610681946525 103221363893050 206442727786100