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668351574 = 2371129479
BaseRepresentation
bin100111110101100…
…011110001010110
31201120121210000000
4213311203301112
52332044222244
6150153032130
722363615602
oct4765436126
91646553000
10668351574
113132a3480
121679b5646
13a860b007
1464a9a502
153da20169
hex27d63c56

668351574 has 128 divisors (see below), whose sum is σ = 1700352000. Its totient is φ = 195138720.

The previous prime is 668351539. The next prime is 668351591. The reversal of 668351574 is 475153866.

668351574 is a `hidden beast` number, since 6 + 68 + 3 + 515 + 74 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395067 + ... + 1395545.

It is an arithmetic number, because the mean of its divisors is an integer number (13284000).

Almost surely, 2668351574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668351574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850176000).

668351574 is an abundant number, since it is smaller than the sum of its proper divisors (1032000426).

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

668351574 is a wasteful number, since it uses less digits than its factorization.

668351574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 668351574 is about 25852.4964751956. The cubic root of 668351574 is about 874.3157966663.

The spelling of 668351574 in words is "six hundred sixty-eight million, three hundred fifty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 243 261 297 319 479 486 522 594 638 729 783 891 957 958 1437 1458 1566 1782 1914 2187 2349 2673 2871 2874 4311 4374 4698 5269 5346 5742 7047 8019 8613 8622 10538 12933 13891 14094 15807 16038 17226 21141 24057 25839 25866 27782 31614 38799 41673 42282 47421 48114 51678 63423 77517 77598 83346 94842 116397 125019 126846 142263 152801 155034 232551 232794 250038 284526 305602 349191 375057 426789 458403 465102 697653 698382 750114 853578 916806 1047573 1125171 1280367 1375209 1395306 2095146 2250342 2560734 2750418 3375513 3841101 4125627 6751026 7682202 8251254 10126539 11523303 12376881 20253078 23046606 24753762 30379617 37130643 60759234 74261286 111391929 222783858 334175787 668351574