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9104485728 = 253131731109127
BaseRepresentation
bin10000111101010101…
…10110110101100000
3212111111200210111010
420132222312311200
5122121222020403
64103232420520
7441421565112
oct103652666540
925444623433
109104485728
113952276978
1219210a7740
13b21304780
146252533b2
1538446a603
hex21eab6d60

9104485728 has 384 divisors, whose sum is σ = 28612362240. Its totient is φ = 2508226560.

The previous prime is 9104485679. The next prime is 9104485781. The reversal of 9104485728 is 8275844019.

It is a happy number.

9104485728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 71688801 + ... + 71688927.

It is an arithmetic number, because the mean of its divisors is an integer number (74511360).

Almost surely, 29104485728 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 9104485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306181120).

9104485728 is an abundant number, since it is smaller than the sum of its proper divisors (19507876512).

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

9104485728 is a wasteful number, since it uses less digits than its factorization.

9104485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 9104485728 is about 95417.4288481931. The cubic root of 9104485728 is about 2088.1024670432.

The spelling of 9104485728 in words is "nine billion, one hundred four million, four hundred eighty-five thousand, seven hundred twenty-eight".