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30148328196 = 22337229316337
BaseRepresentation
bin11100000100111110…
…101111101100000100
32212211002101202102000
4130010332233230010
5443220433000241
621503331145300
72115050363400
oct340476575404
985732352360
1030148328196
1111870a44218
125a14745230
132ac602a06c
14166001a100
15bb6b77eb6
hex704fafb04

30148328196 has 288 divisors, whose sum is σ = 97108300800. Its totient is φ = 8047226880.

The previous prime is 30148328191. The next prime is 30148328209. The reversal of 30148328196 is 69182384103.

30148328196 is a `hidden beast` number, since 3 + 0 + 1 + 483 + 2 + 81 + 96 = 666.

It is a super-2 number, since 2×301483281962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30148328191) 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, 4754340 + ... + 4760676.

It is an arithmetic number, because the mean of its divisors is an integer number (337181600).

Almost surely, 230148328196 is an apocalyptic number.

30148328196 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 30148328196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48554150400).

30148328196 is an abundant number, since it is smaller than the sum of its proper divisors (66959972604).

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

30148328196 is a wasteful number, since it uses less digits than its factorization.

30148328196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30148328196 in words is "thirty billion, one hundred forty-eight million, three hundred twenty-eight thousand, one hundred ninety-six".