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30215259916128 = 25327220759103141
BaseRepresentation
bin1101101111011000010011…
…10101011000011101100000
310221222112212102012111120100
412313230021311120131200
512430021323014304003
6144132410534142400
76235660210444500
oct667541165303540
9127875772174510
1030215259916128
11969a246570091
12347bb054b1a00
1313b23960ac4a1
147665d7dcda00
15375e7cca4ba3
hex1b7b09d58760

30215259916128 has 216 divisors, whose sum is σ = 99958942989360. Its totient is φ = 8632431843840.

The previous prime is 30215259916123. The next prime is 30215259916139. The reversal of 30215259916128 is 82161995251203.

30215259916128 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 525 + 9 + 91 + 6 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30215259916123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292899438 + ... + 293002578.

It is an arithmetic number, because the mean of its divisors is an integer number (462772884210).

Almost surely, 230215259916128 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 30215259916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49979471494680).

30215259916128 is an abundant number, since it is smaller than the sum of its proper divisors (69743683073232).

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

30215259916128 is a wasteful number, since it uses less digits than its factorization.

30215259916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123930 (or 123912 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 30215259916128 in words is "thirty trillion, two hundred fifteen billion, two hundred fifty-nine million, nine hundred sixteen thousand, one hundred twenty-eight".