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9045158850 = 2325271331307
BaseRepresentation
bin10000110110010001…
…00010101111000010
3212100101001200022100
420123020202233002
5122011030040400
64053313051230
7440101403340
oct103310425702
925311050270
109045158850
1139218357a2
121905256b16
13b11c32000
1461b40c990
1537e14c100
hex21b222bc2

9045158850 has 288 divisors, whose sum is σ = 30109322880. Its totient is φ = 1906968960.

The previous prime is 9045158819. The next prime is 9045158851. The reversal of 9045158850 is 588515409.

It is a happy number.

9045158850 is a `hidden beast` number, since 9 + 0 + 4 + 515 + 88 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9045158796 and 9045158805.

It is not an unprimeable number, because it can be changed into a prime (9045158851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6919897 + ... + 6921203.

It is an arithmetic number, because the mean of its divisors is an integer number (104546260).

Almost surely, 29045158850 is an apocalyptic number.

9045158850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045158850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054661440).

9045158850 is an abundant number, since it is smaller than the sum of its proper divisors (21064164030).

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

9045158850 is a wasteful number, since it uses less digits than its factorization.

9045158850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 9045158850 is about 95106.0400290118. The cubic root of 9045158850 is about 2083.5570645413.

The spelling of 9045158850 in words is "nine billion, forty-five million, one hundred fifty-eight thousand, eight hundred fifty".