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30385129248 = 253217232391129
BaseRepresentation
bin11100010011000110…
…000100011100100000
32220102120222111101100
4130103012010130200
5444212043113443
621543030434400
72123654223435
oct342306043440
986376874340
1030385129248
1111982682371
125a7bb02a00
132b330cab26
14168365bb8c
15bcc8513d3
hex713184720

30385129248 has 288 divisors, whose sum is σ = 95952729600. Its totient is φ = 9071935488.

The previous prime is 30385129189. The next prime is 30385129273. The reversal of 30385129248 is 84292158303.

30385129248 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 512 + 92 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 26912748 + ... + 26913876.

It is an arithmetic number, because the mean of its divisors is an integer number (333169200).

Almost surely, 230385129248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30385129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976364800).

30385129248 is an abundant number, since it is smaller than the sum of its proper divisors (65567600352).

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

30385129248 is a wasteful number, since it uses less digits than its factorization.

30385129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30385129248 in words is "thirty billion, three hundred eighty-five million, one hundred twenty-nine thousand, two hundred forty-eight".