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206453136132 = 223243581322943
BaseRepresentation
bin1100000001000110010…
…0001101101100000100
3201201220001222222002100
43000101210031230010
511340304000324012
6234502051112100
720626046462655
oct3002144155404
9651801888070
10206453136132
117a61345a961
12340188a2630
1316612242219
149dc716752c
155584c698dc
hex301190db04

206453136132 has 72 divisors (see below), whose sum is σ = 534119249664. Its totient is φ = 67202807616.

The previous prime is 206453136083. The next prime is 206453136133. The reversal of 206453136132 is 231631354602.

206453136132 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 5 + 31 + 3 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206453136133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8987053 + ... + 9009995.

It is an arithmetic number, because the mean of its divisors is an integer number (7418322912).

Almost surely, 2206453136132 is an apocalyptic number.

It is an amenable number.

206453136132 is an abundant number, since it is smaller than the sum of its proper divisors (327666113532).

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

206453136132 is a wasteful number, since it uses less digits than its factorization.

206453136132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28809 (or 28804 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 206453136132 in words is "two hundred six billion, four hundred fifty-three million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 5813 11626 17439 22943 23252 34878 45886 52317 68829 69756 91772 104634 137658 206487 209268 249959 275316 412974 499918 749877 825948 986549 999836 1499754 1973098 2249631 2959647 2999508 3946196 4499262 5919294 8878941 8998524 11838588 17757882 35515764 133367659 266735318 400102977 533470636 800205954 1200308931 1600411908 2400617862 4801235724 5734809337 11469618674 17204428011 22939237348 34408856022 51613284033 68817712044 103226568066 206453136132