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30255246000 = 2432537234303
BaseRepresentation
bin11100001011010110…
…100110101010110000
32220002112120202001200
4130023112212222300
5443430320333000
621522110531200
72120516230200
oct341326465260
986075522050
1030255246000
1111916330141
125a44506b00
132b12223535
1416702cc400
15bc1247500
hex70b5a6ab0

30255246000 has 360 divisors, whose sum is σ = 122927560704. Its totient is φ = 6915283200.

The previous prime is 30255245983. The next prime is 30255246019. The reversal of 30255246000 is 64255203.

30255246000 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 52 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 864849 + ... + 899151.

Almost surely, 230255246000 is an apocalyptic number.

30255246000 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 30255246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61463780352).

30255246000 is an abundant number, since it is smaller than the sum of its proper divisors (92672314704).

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

30255246000 is a wasteful number, since it uses less digits than its factorization.

30255246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34346 (or 34320 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 30255246000 in words is "thirty billion, two hundred fifty-five million, two hundred forty-six thousand".