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5704129742224 = 24412145632
BaseRepresentation
bin101001100000001100010…
…1000001000010110010000
3202012022100121110011110211
41103000120220020112100
51221424024203222344
620044235132333504
71126052436550354
oct123003050102620
922168317404424
105704129742224
1118aa120595661
127815b9614294
13324b87caac54
1415a11d335464
159d59e12b334
hex53018a08590

5704129742224 has 45 divisors (see below), whose sum is σ = 11328658704129. Its totient is φ = 2782311246720.

The previous prime is 5704129742197. The next prime is 5704129742231. The reversal of 5704129742224 is 4222479214075.

The square root of 5704129742224 is 2388332.

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., 274856935824 + 5429272806400 = 524268^2 + 2330080^2 .

It is a super-3 number, since 3×57041297422243 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 391679167 + ... + 391693729.

Almost surely, 25704129742224 is an apocalyptic number.

5704129742224 is the 2388332-nd square number.

It is an amenable number.

5704129742224 is a deficient number, since it is larger than the sum of its proper divisors (5624528961905).

5704129742224 is an frugal number, since it uses more digits than its factorization.

5704129742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 5704129742224 by its sum of digits (49), we get a square (279502357368976 = 167183242).

The spelling of 5704129742224 in words is "five trillion, seven hundred four billion, one hundred twenty-nine million, seven hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 14563 26896 29126 58252 116504 233008 597083 1194166 2388332 4776664 9553328 24480403 48960806 97921612 195843224 212080969 391686448 424161938 848323876 1696647752 3393295504 8695319729 17390639458 34781278916 69562557832 139125115664 356508108889 713016217778 1426032435556 2852064871112 5704129742224