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32538402016 = 2517503118913
BaseRepresentation
bin11110010011011100…
…001001110011100000
310002222122202002022121
4132103130021303200
51013114312331031
622540430514024
72231221565551
oct362334116340
9102878662277
1032538402016
111288809703a
126381065914
1330b724b923
141809614328
15ca68dd011
hex793709ce0

32538402016 has 48 divisors (see below), whose sum is σ = 67963631904. Its totient is φ = 15281618944.

The previous prime is 32538402011. The next prime is 32538402031. The reversal of 32538402016 is 61020483523.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32538402011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214176 + ... + 333088.

It is an arithmetic number, because the mean of its divisors is an integer number (1415908998).

Almost surely, 232538402016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32538402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33981815952).

32538402016 is an abundant number, since it is smaller than the sum of its proper divisors (35425229888).

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

32538402016 is a wasteful number, since it uses less digits than its factorization.

32538402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119443 (or 119435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 32538402016 its reverse (61020483523), we get a palindrome (93558885539).

The spelling of 32538402016 in words is "thirty-two billion, five hundred thirty-eight million, four hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 503 544 1006 2012 4024 8048 8551 16096 17102 34204 68408 118913 136816 237826 273632 475652 951304 1902608 2021521 3805216 4043042 8086084 16172168 32344336 59813239 64688672 119626478 239252956 478505912 957011824 1016825063 1914023648 2033650126 4067300252 8134600504 16269201008 32538402016