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2063566080 = 283251741257
BaseRepresentation
bin111101011111111…
…1000010100000000
312022210222000111100
41322333320110000
513211233103310
6540433214400
7102065010432
oct17277702400
95283860440
102063566080
11969913814
12497101400
1326b6a2524
141580c4652
15c126bec0
hex7aff8500

2063566080 has 432 divisors, whose sum is σ = 7774223184. Its totient is φ = 503316480.

The previous prime is 2063566073. The next prime is 2063566093. The reversal of 2063566080 is 806653602.

It can be written as a sum of positive squares in 8 ways, for example, as 32080896 + 2031485184 = 5664^2 + 45072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8029312 + ... + 8029568.

It is an arithmetic number, because the mean of its divisors is an integer number (17995887).

Almost surely, 22063566080 is an apocalyptic number.

2063566080 is a gapful number since it is divisible by the number (20) 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 2063566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887111592).

2063566080 is an abundant number, since it is smaller than the sum of its proper divisors (5710657104).

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

2063566080 is a wasteful number, since it uses less digits than its factorization.

2063566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2063566080 is about 45426.4909496650. The cubic root of 2063566080 is about 1273.1301217762.

The spelling of 2063566080 in words is "two billion, sixty-three million, five hundred sixty-six thousand, eighty".