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213428050560 = 27325131282851
BaseRepresentation
bin1100011011000101001…
…1011001101010000000
3202101220011112022221100
43012301103121222000
511444100040104220
6242014131454400
721263642332314
oct3066123315200
9671804468840
10213428050560
118257263034a
1235444757400
13171842a401a
14a489633b44
15584227ad90
hex31b14d9a80

213428050560 has 192 divisors, whose sum is σ = 742622268960. Its totient is φ = 56479488000.

The previous prime is 213428050559. The next prime is 213428050571. The reversal of 213428050560 is 65050824312.

213428050560 is a `hidden beast` number, since 2 + 1 + 3 + 42 + 8 + 0 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613135 + ... + 895985.

Almost surely, 2213428050560 is an apocalyptic number.

213428050560 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 213428050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371311134480).

213428050560 is an abundant number, since it is smaller than the sum of its proper divisors (529194218400).

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

213428050560 is a wasteful number, since it uses less digits than its factorization.

213428050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283007 (or 282992 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 213428050560 its reverse (65050824312), we get a palindrome (278478874872).

The spelling of 213428050560 in words is "two hundred thirteen billion, four hundred twenty-eight million, fifty thousand, five hundred sixty".