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8985125560320 = 2133357131937127
BaseRepresentation
bin1000001011000000001100…
…1101111010000000000000
31011210222011211221000001000
42002300003031322000000
52134203014120412240
631035413143412000
71615103534056020
oct202600315720000
934728154830030
108985125560320
112954630156478
121011464454000
135023a83666b0
14230c4d427a80
15108acc91a430
hex82c0337a000

8985125560320 has 3584 divisors, whose sum is σ = 42839683891200. Its totient is φ = 1733686198272.

The previous prime is 8985125560207. The next prime is 8985125560321. The reversal of 8985125560320 is 230655215898.

It is a happy number.

8985125560320 is a `hidden beast` number, since 8 + 9 + 8 + 5 + 1 + 2 + 5 + 5 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8985125560321) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 70749020097 + ... + 70749020223.

It is an arithmetic number, because the mean of its divisors is an integer number (11953036800).

Almost surely, 28985125560320 is an apocalyptic number.

8985125560320 is a gapful number since it is divisible by the number (80) 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 8985125560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419841945600).

8985125560320 is an abundant number, since it is smaller than the sum of its proper divisors (33854558330880).

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

8985125560320 is a wasteful number, since it uses less digits than its factorization.

8985125560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 8985125560320 in words is "eight trillion, nine hundred eighty-five billion, one hundred twenty-five million, five hundred sixty thousand, three hundred twenty".