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30030066000 = 24325311151667
BaseRepresentation
bin11011111101111011…
…100111000101010000
32212111211212102011200
4123331323213011100
5443000144103000
621443504311200
72112113230554
oct337573470520
985454772150
1030030066000
111181020a070
1259a1012500
132aa769112c
14164c433864
15bab5b7500
hex6fdee7150

30030066000 has 240 divisors, whose sum is σ = 114420765888. Its totient is φ = 7279968000.

The previous prime is 30030065999. The next prime is 30030066013. The reversal of 30030066000 is 66003003.

30030066000 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 0 + 0 + 660 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 122167 + ... + 273833.

Almost surely, 230030066000 is an apocalyptic number.

30030066000 is a gapful number since it is divisible by the number (30) 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 30030066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57210382944).

30030066000 is an abundant number, since it is smaller than the sum of its proper divisors (84390699888).

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

30030066000 is a wasteful number, since it uses less digits than its factorization.

30030066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151707 (or 151688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30030066000 its reverse (66003003), we get a palindrome (30096069003).

The spelling of 30030066000 in words is "thirty billion, thirty million, sixty-six thousand", and thus it is an eban number.