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30171068928 = 29327111331211
BaseRepresentation
bin11100000110010101…
…011111101000000000
32212212200012002211100
4130012111133220000
5443242243201203
621505502414400
72115444566040
oct340625375000
985780162740
1030171068928
1111882866710
125a20291400
132aca95cb10
141663059720
15bb8b6aea3
hex70655fa00

30171068928 has 960 divisors, whose sum is σ = 121256239104. Its totient is φ = 6967296000.

The previous prime is 30171068911. The next prime is 30171068929. The reversal of 30171068928 is 82986017103.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30171068929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142990743 + ... + 142990953.

Almost surely, 230171068928 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 30171068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60628119552).

30171068928 is an abundant number, since it is smaller than the sum of its proper divisors (91085170176).

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

30171068928 is a wasteful number, since it uses less digits than its factorization.

30171068928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 30171068928 in words is "thirty billion, one hundred seventy-one million, sixty-eight thousand, nine hundred twenty-eight".