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2032238886912 = 21532131731181
BaseRepresentation
bin11101100100101010111…
…000001000000000000000
321012021120012222222210200
4131210222320020000000
5231244011123340122
64153333032125200
7266552526344013
oct35445270100000
97167505888720
102032238886912
1171395a964783
12289a40836800
13119840724b10
147050a3b937a
1537ce34555ac
hex1d92ae08000

2032238886912 has 384 divisors, whose sum is σ = 6694546524120. Its totient is φ = 588502794240.

The previous prime is 2032238886911. The next prime is 2032238886919. The reversal of 2032238886912 is 2196888322302.

It can be written as a sum of positive squares in 4 ways, for example, as 1074158125056 + 958080761856 = 1036416^2 + 978816^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2032238886911) 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, 65159962 + ... + 65191142.

Almost surely, 22032238886912 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 2032238886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347273262060).

2032238886912 is an abundant number, since it is smaller than the sum of its proper divisors (4662307637208).

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

2032238886912 is a wasteful number, since it uses less digits than its factorization.

2032238886912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31247 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2032238886912 in words is "two trillion, thirty-two billion, two hundred thirty-eight million, eight hundred eighty-six thousand, nine hundred twelve".