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30066030000 = 2432541743457
BaseRepresentation
bin11100000000000100…
…110011010110110000
32212121100112120111200
4130000010303112300
5443033400430000
621451231211200
72113031016066
oct340004632660
985540476450
1030066030000
1111829543386
1259b1076b00
132ab1c738c6
141653116036
15bae81d500
hex7001335b0

30066030000 has 600 divisors, whose sum is σ = 114168616848. Its totient is φ = 7354368000.

The previous prime is 30066029999. The next prime is 30066030019. The reversal of 30066030000 is 3066003.

30066030000 is a `hidden beast` number, since 3 + 0 + 0 + 660 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65789772 + ... + 65790228.

Almost surely, 230066030000 is an apocalyptic number.

30066030000 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 30066030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57084308424).

30066030000 is an abundant number, since it is smaller than the sum of its proper divisors (84102586848).

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

30066030000 is a wasteful number, since it uses less digits than its factorization.

30066030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

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

Adding to 30066030000 its reverse (3066003), we get a palindrome (30069096003).

The spelling of 30066030000 in words is "thirty billion, sixty-six million, thirty thousand", and thus it is an eban number.