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330059442064 = 2411411872
BaseRepresentation
bin1001100110110010001…
…00110110011110010000
31011112221102001220022011
410303121010312132100
520401430204121224
6411343251152304
732563115652562
oct4633104663620
91145842056264
10330059442064
11117a82a50000
1253b742a5694
1325180606a11
1411d91421332
1588bb62a394
hex4cd9136790

330059442064 has 75 divisors (see below), whose sum is σ = 704027933035. Its totient is φ = 149900627360.

The previous prime is 330059442061. The next prime is 330059442071. The reversal of 330059442064 is 460244950033.

The square root of 330059442064 is 574508.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330059442061) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 278061279 + ... + 278062465.

Almost surely, 2330059442064 is an apocalyptic number.

330059442064 is the 574508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330059442064

330059442064 is an abundant number, since it is smaller than the sum of its proper divisors (373968490971).

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

330059442064 is an frugal number, since it uses more digits than its factorization.

330059442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 330059442064 in words is "three hundred thirty billion, fifty-nine million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1187 1331 1936 2374 2662 4748 5324 9496 10648 13057 14641 18992 21296 26114 29282 52228 58564 104456 117128 143627 208912 234256 287254 574508 1149016 1408969 1579897 2298032 2817938 3159794 5635876 6319588 11271752 12639176 15498659 17378867 22543504 25278352 30997318 34757734 61994636 69515468 123989272 139030936 170485249 247978544 278061872 340970498 681940996 1363881992 1875337739 2727763984 3750675478 7501350956 15002701912 20628715129 30005403824 41257430258 82514860516 165029721032 330059442064