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30193135056 = 24327173794649
BaseRepresentation
bin11100000111101001…
…101010110111010000
32212221012201011212100
4130013221222313100
5443313420310211
621512011400400
72116133261550
oct340751526720
985835634770
1030193135056
1111894268287
125a27753100
132b023b77b6
141665d61160
15bbaa79156
hex707a6add0

30193135056 has 240 divisors, whose sum is σ = 102542544000. Its totient is φ = 8095997952.

The previous prime is 30193134943. The next prime is 30193135099. The reversal of 30193135056 is 65053139103.

It is a super-2 number, since 2×301931350562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30193135056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6492220 + ... + 6496868.

It is an arithmetic number, because the mean of its divisors is an integer number (427260600).

Almost surely, 230193135056 is an apocalyptic number.

30193135056 is a gapful number since it is divisible by the number (36) 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 30193135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271272000).

30193135056 is an abundant number, since it is smaller than the sum of its proper divisors (72349408944).

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

30193135056 is a wasteful number, since it uses less digits than its factorization.

30193135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The spelling of 30193135056 in words is "thirty billion, one hundred ninety-three million, one hundred thirty-five thousand, fifty-six".