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8980515648 = 2632136119661
BaseRepresentation
bin10000101110100011…
…11100101101000000
3212011212102110111200
420113101330231000
5121343003000043
64043043341200
7435355060236
oct102721745500
925155373450
108980515648
1138992a3365
1218a7681800
13b0171a7b0
146129c2956
1537862d7d3
hex21747cb40

8980515648 has 168 divisors, whose sum is σ = 28176983016. Its totient is φ = 2717798400.

The previous prime is 8980515641. The next prime is 8980515653. The reversal of 8980515648 is 8465150898.

It is a happy number.

8980515648 is a `hidden beast` number, since 8 + 9 + 80 + 515 + 6 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 8927982144 = 7248^2 + 94488^2 .

It is a super-3 number, since 3×89805156483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 8980515594 and 8980515603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8980515641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446938 + ... + 466598.

It is an arithmetic number, because the mean of its divisors is an integer number (167720137).

Almost surely, 28980515648 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 8980515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088491508).

8980515648 is an abundant number, since it is smaller than the sum of its proper divisors (19196467368).

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

8980515648 is a wasteful number, since it uses less digits than its factorization.

8980515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19753 (or 19740 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 8980515648 is about 94765.5826130985. The cubic root of 8980515648 is about 2078.5816612688.

The spelling of 8980515648 in words is "eight billion, nine hundred eighty million, five hundred fifteen thousand, six hundred forty-eight".