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9230015128320 = 283357218130113
BaseRepresentation
bin1000011001010000011111…
…0001011110001100000000
31012200101021121212000101000
42012110013301132030000
52202211032333101240
631344113241012000
71641563244050100
oct206240761361400
935611247760330
109230015128320
112a39477a064a8
121050a09484000
1351c50473cb0c
1423ca4122d200
15110161c67430
hex86507c5e300

9230015128320 has 864 divisors, whose sum is σ = 38313059279040. Its totient is φ = 2097992171520.

The previous prime is 9230015128291. The next prime is 9230015128339. The reversal of 9230015128320 is 238215100329.

9230015128320 is a `hidden beast` number, since 9 + 2 + 300 + 1 + 5 + 1 + 28 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 306497584 + ... + 306527696.

It is an arithmetic number, because the mean of its divisors is an integer number (44343818610).

Almost surely, 29230015128320 is an apocalyptic number.

9230015128320 is a gapful number since it is divisible by the number (90) 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 9230015128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156529639520).

9230015128320 is an abundant number, since it is smaller than the sum of its proper divisors (29083044150720).

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

9230015128320 is a wasteful number, since it uses less digits than its factorization.

9230015128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30338 (or 30311 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 9230015128320 in words is "nine trillion, two hundred thirty billion, fifteen million, one hundred twenty-eight thousand, three hundred twenty".