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20308530064 = 2423215492
BaseRepresentation
bin10010111010011110…
…111001001110010000
31221102100002012221011
4102322132321032100
5313042440430224
613155110140304
71316156441314
oct227236711620
957370065834
1020308530064
1186816aa249
123b29351694
131bb85a11c4
14da9279b44
157dcdb2394
hex4ba7b9390

20308530064 has 45 divisors (see below), whose sum is σ = 41159502993. Its totient is φ = 9706504896.

The previous prime is 20308530049. The next prime is 20308530091. The reversal of 20308530064 is 46003580302.

The square root of 20308530064 is 142508.

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., 6871083664 + 13437446400 = 82892^2 + 115920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13109962 + ... + 13111510.

Almost surely, 220308530064 is an apocalyptic number.

20308530064 is the 142508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20308530064

20308530064 is an abundant number, since it is smaller than the sum of its proper divisors (20850972929).

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

20308530064 is an frugal number, since it uses more digits than its factorization.

20308530064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 20308530064 in words is "twenty billion, three hundred eight million, five hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1549 2116 3098 4232 6196 8464 12392 24784 35627 71254 142508 285016 570032 819421 1638842 2399401 3277684 4798802 6555368 9597604 13110736 19195208 38390416 55186223 110372446 220744892 441489784 882979568 1269283129 2538566258 5077132516 10154265032 20308530064