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213020244557064 = 233272416412297473
BaseRepresentation
bin110000011011110110100100…
…000000011011110100001000
31000221020112111002211122022200
4300123312210000123310020
5210410110430101311224
62033020052133120200
762604130146065400
oct6033664400336410
91027215432748280
10213020244557064
116196941869843a
121ba84900a89060
1391b29521aa039
143a863405d1800
15199622ab9d5c9
hexc1bda401bd08

213020244557064 has 288 divisors, whose sum is σ = 688564123523640. Its totient is φ = 59285805465600.

The previous prime is 213020244557033. The next prime is 213020244557101. The reversal of 213020244557064 is 460755442020312.

213020244557064 is a `hidden beast` number, since 2 + 1 + 30 + 2 + 0 + 2 + 4 + 4 + 557 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208318936494564 + 4701308062500 = 14433258^2 + 2168250^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91570632 + ... + 93868104.

Almost surely, 2213020244557064 is an apocalyptic number.

213020244557064 is a gapful number since it is divisible by the number (24) 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 213020244557064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344282061761820).

213020244557064 is an abundant number, since it is smaller than the sum of its proper divisors (475543878966576).

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

213020244557064 is a wasteful number, since it uses less digits than its factorization.

213020244557064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298181 (or 2298167 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 213020244557064 its reverse (460755442020312), we get a palindrome (673775686577376).

The spelling of 213020244557064 in words is "two hundred thirteen trillion, twenty billion, two hundred forty-four million, five hundred fifty-seven thousand, sixty-four".