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201550400532 = 223213430663249
BaseRepresentation
bin1011101110110101010…
…1110000110000010100
3201021020101122012012100
42323231111300300110
511300233400304112
6232331352322100
720363415065115
oct2735525606024
9637211565170
10201550400532
1178527a46058
123308a9a3330
13160105a9c40
149a7dd8420c
1553996272dc
hex2eed570c14

201550400532 has 36 divisors (see below), whose sum is σ = 548664980500. Its totient is φ = 62015507712.

The previous prime is 201550400501. The next prime is 201550400537. The reversal of 201550400532 is 235004055102.

It is a happy number.

201550400532 is a `hidden beast` number, since 20 + 1 + 550 + 40 + 0 + 53 + 2 = 666.

201550400532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8516705796 + 193033694736 = 92286^2 + 439356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 201550400496 and 201550400505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201550400537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215331157 + ... + 215332092.

Almost surely, 2201550400532 is an apocalyptic number.

It is an amenable number.

201550400532 is an abundant number, since it is smaller than the sum of its proper divisors (347114579968).

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

201550400532 is a wasteful number, since it uses less digits than its factorization.

201550400532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430663272 (or 430663267 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 201550400532 its reverse (235004055102), we get a palindrome (436554455634).

The spelling of 201550400532 in words is "two hundred one billion, five hundred fifty million, four hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 430663249 861326498 1291989747 1722652996 2583979494 3875969241 5167958988 5598622237 7751938482 11197244474 15503876964 16795866711 22394488948 33591733422 50387600133 67183466844 100775200266 201550400532