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30130939872 = 2534112234177
BaseRepresentation
bin11100000011111100…
…011010011111100000
32212202212200100010000
4130003330122133200
5443202010033442
621501510340000
72114446522515
oct340374323740
985685610100
1030130939872
1111862148100
125a0a95a600
132ac254c607
14165b9b130c
15bb5390d4c
hex703f1a7e0

30130939872 has 360 divisors, whose sum is σ = 101661669648. Its totient is φ = 8731514880.

The previous prime is 30130939871. The next prime is 30130939889. The reversal of 30130939872 is 27893903103.

30130939872 is a `hidden beast` number, since 301 + 309 + 39 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30130939871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7211448 + ... + 7215624.

Almost surely, 230130939872 is an apocalyptic number.

30130939872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830834824).

30130939872 is an abundant number, since it is smaller than the sum of its proper divisors (71530729776).

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

30130939872 is a wasteful number, since it uses less digits than its factorization.

30130939872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 30130939872 in words is "thirty billion, one hundred thirty million, nine hundred thirty-nine thousand, eight hundred seventy-two".