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220620996288 = 263272111741801
BaseRepresentation
bin1100110101111000001…
…0010011111011000000
3210002110110022211111200
43031132002103323000
512103312433340123
6245204001341200
721640123345500
oct3153602237300
9702413284450
10220620996288
11856238899a0
1236911637800
1317a5c564424
14a96ca57a00
155b139a9143
hex335e093ec0

220620996288 has 504 divisors, whose sum is σ = 849713935824. Its totient is φ = 53932032000.

The previous prime is 220620996283. The next prime is 220620996289. The reversal of 220620996288 is 882699026022.

220620996288 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 2 + 0 + 9 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220620996283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5256988 + ... + 5298788.

Almost surely, 2220620996288 is an apocalyptic number.

220620996288 is a gapful number since it is divisible by the number (28) 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 220620996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424856967912).

220620996288 is an abundant number, since it is smaller than the sum of its proper divisors (629092939536).

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

220620996288 is a wasteful number, since it uses less digits than its factorization.

220620996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41861 (or 41841 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 220620996288 in words is "two hundred twenty billion, six hundred twenty million, nine hundred ninety-six thousand, two hundred eighty-eight".