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330057665364 = 2237191202910139
BaseRepresentation
bin1001100110110001111…
…10000100101101010100
31011112221021201122010110
410303120332010231110
520401424230242424
6411343145123020
732563064602650
oct4633076045524
91145837648113
10330057665364
11117a81a47159
1253b73789470
132518013410b
1411d910bba60
1588bb3c8c29
hex4cd8f84b54

330057665364 has 96 divisors (see below), whose sum is σ = 885285273600. Its totient is φ = 93752979840.

The previous prime is 330057665341. The next prime is 330057665381. The reversal of 330057665364 is 463566750033.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 32548207 + ... + 32558345.

It is an arithmetic number, because the mean of its divisors is an integer number (9221721600).

Almost surely, 2330057665364 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 330057665364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442642636800).

330057665364 is an abundant number, since it is smaller than the sum of its proper divisors (555227608236).

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

330057665364 is a wasteful number, since it uses less digits than its factorization.

330057665364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12371 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 48.

The spelling of 330057665364 in words is "three hundred thirty billion, fifty-seven million, six hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2029 2292 2674 4011 4058 5348 6087 8022 8116 10139 12174 14203 16044 20278 24348 28406 30417 40556 42609 56812 60834 70973 85218 121668 141946 170436 212919 283892 387539 425838 775078 851676 1162617 1550156 1936549 2325234 2712773 3873098 4650468 5425546 5809647 7746196 8138319 10851092 11619294 13555843 16276638 20572031 23238588 27111686 32553276 40667529 41144062 54223372 61716093 81335058 82288124 123432186 144004217 162670116 246864372 288008434 432012651 576016868 864025302 1728050604 3929257921 7858515842 11787773763 15717031684 23575547526 27504805447 47151095052 55009610894 82514416341 110019221788 165028832682 330057665364