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2630017228020 = 22357213312718191
BaseRepresentation
bin100110010001011001001…
…111100001110011110100
3100022102112102102002020020
4212101121033201303310
5321042233402244040
65332114020405140
7361004164404300
oct46213117416364
910272472362206
102630017228020
11924425185046
1236586b5467b0
13161018009460
1491417584d00
154862d228cd0
hex264593e1cf4

2630017228020 has 576 divisors, whose sum is σ = 9559187914752. Its totient is φ = 534957696000.

The previous prime is 2630017228001. The next prime is 2630017228099. The reversal of 2630017228020 is 208227100362.

2630017228020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321082125 + ... + 321090315.

It is an arithmetic number, because the mean of its divisors is an integer number (16595812352).

Almost surely, 22630017228020 is an apocalyptic number.

2630017228020 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 2630017228020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779593957376).

2630017228020 is an abundant number, since it is smaller than the sum of its proper divisors (6929170686732).

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

2630017228020 is a wasteful number, since it uses less digits than its factorization.

2630017228020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 2630017228020 in words is "two trillion, six hundred thirty billion, seventeen million, two hundred twenty-eight thousand, twenty".