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30171045888 = 21334411109
BaseRepresentation
bin11100000110010101…
…011010000000000000
32212212200010221020000
4130012111122000000
5443242241432023
621505502120000
72115444441624
oct340625320000
985780127200
1030171045888
1111882850375
125a20280000
132aca952499
141663051184
15bb8b64243
hex70655a000

30171045888 has 280 divisors, whose sum is σ = 92416830660. Its totient is φ = 9802874880.

The previous prime is 30171045887. The next prime is 30171045889. The reversal of 30171045888 is 88854017103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30171045887) and next prime (30171045889).

It can be written as a sum of positive squares in 2 ways, for example, as 20241321984 + 9929723904 = 142272^2 + 99648^2 .

It is not an unprimeable number, because it can be changed into a prime (30171045887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27205078 + ... + 27206186.

Almost surely, 230171045888 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 30171045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46208415330).

30171045888 is an abundant number, since it is smaller than the sum of its proper divisors (62245784772).

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

30171045888 is an equidigital number, since it uses as much as digits as its factorization.

30171045888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 30171045888 in words is "thirty billion, one hundred seventy-one million, forty-five thousand, eight hundred eighty-eight".