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201044432016 = 24321543904823
BaseRepresentation
bin1011101100111100101…
…1101001010010010000
3201012221010120022212200
42323033023221102100
511243214333311031
6232205235523200
720345032322211
oct2731713512220
9635833508780
10201044432016
117829838245a
1232b69459500
1315c5c81529c
149a32ab7408
155369ed08e6
hex2ecf2e9490

201044432016 has 60 divisors (see below), whose sum is σ = 563010447168. Its totient is φ = 66971305152.

The previous prime is 201044432011. The next prime is 201044432023. The reversal of 201044432016 is 610234440102.

It is a happy number.

201044432016 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 443 + 201 + 6 = 666.

201044432016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2010444320163 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201044432011) 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, 230220 + ... + 674603.

Almost surely, 2201044432016 is an apocalyptic number.

It is an amenable number.

201044432016 is an abundant number, since it is smaller than the sum of its proper divisors (361966015152).

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

201044432016 is a wasteful number, since it uses less digits than its factorization.

201044432016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906380 (or 906371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201044432016 its reverse (610234440102), we get a palindrome (811278872118).

The spelling of 201044432016 in words is "two hundred one billion, forty-four million, four hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1543 3086 4629 6172 9258 12344 13887 18516 24688 27774 37032 55548 74064 111096 222192 904823 1809646 2714469 3619292 5428938 7238584 8143407 10857876 14477168 16286814 21715752 32573628 43431504 65147256 130294512 1396141889 2792283778 4188425667 5584567556 8376851334 11169135112 12565277001 16753702668 22338270224 25130554002 33507405336 50261108004 67014810672 100522216008 201044432016