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21234348288 = 28347114423
BaseRepresentation
bin10011110001101010…
…100111000100000000
32000210212011122210000
4103301222213010000
5321441443121123
613431021440000
71351130660646
oct236152470400
960725148700
1021234348288
11900726617a
124147410000
13200533733a
1410561d7196
158442ddb43
hex4f1aa7100

21234348288 has 180 divisors, whose sum is σ = 64213224768. Its totient is φ = 6977940480.

The previous prime is 21234348283. The next prime is 21234348307. The reversal of 21234348288 is 88284343212.

21234348288 is a `hidden beast` number, since 2 + 1 + 23 + 4 + 348 + 288 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21234348281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1465045 + ... + 1479467.

Almost surely, 221234348288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21234348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32106612384).

21234348288 is an abundant number, since it is smaller than the sum of its proper divisors (42978876480).

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

21234348288 is an equidigital number, since it uses as much as digits as its factorization.

21234348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14522 (or 14499 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 21234348288 in words is "twenty-one billion, two hundred thirty-four million, three hundred forty-eight thousand, two hundred eighty-eight".