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23217441128704 = 283011532
BaseRepresentation
bin1010100011101101110110…
…10101001100000100000000
310001012120021101120121100001
411101312323111030010000
511020343304412104304
6121213540055405344
74614255556254514
oct521667325140400
9101176241517301
1023217441128704
117441509270069
12272b842083854
13cc551a637cb4
145a3a31744144
152a3e13d10da4
hex151dbb54c100

23217441128704 has 27 divisors (see below), whose sum is σ = 46344343017693. Its totient is φ = 11608682016768.

The previous prime is 23217441128633. The next prime is 23217441128711. The reversal of 23217441128704 is 40782114471232.

The square root of 23217441128704 is 4818448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 258470560000 + 22958970568704 = 508400^2 + 4791552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 76944592 + ... + 77245744.

Almost surely, 223217441128704 is an apocalyptic number.

23217441128704 is the 4818448-th square number.

It is an amenable number.

23217441128704 is a deficient number, since it is larger than the sum of its proper divisors (23126901888989).

23217441128704 is an frugal number, since it uses more digits than its factorization.

23217441128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602322 (or 301155 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

Adding to 23217441128704 its reverse (40782114471232), we get a palindrome (63999555599936).

The spelling of 23217441128704 in words is "twenty-three trillion, two hundred seventeen billion, four hundred forty-one million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 301153 602306 1204612 2409224 4818448 9636896 19273792 38547584 77095168 90693129409 181386258818 362772517636 725545035272 1451090070544 2902180141088 5804360282176 11608720564352 23217441128704