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1668365424 = 243411210639
BaseRepresentation
bin110001101110001…
…0011110001110000
311022021022202010000
41203130103301300
511404100143144
6433314510000
756225605065
oct14334236160
94267282100
101668365424
11786826700
123a6895300
1320785159b
1411b80cc6c
159b705769
hex63713c70

1668365424 has 150 divisors (see below), whose sum is σ = 5308115120. Its totient is φ = 505517760.

The previous prime is 1668365423. The next prime is 1668365437. The reversal of 1668365424 is 4245638661.

1668365424 is a `hidden beast` number, since 16 + 68 + 36 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1668365424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668365423) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 151497 + ... + 162135.

Almost surely, 21668365424 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 1668365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654057560).

1668365424 is an abundant number, since it is smaller than the sum of its proper divisors (3639749696).

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

1668365424 is a wasteful number, since it uses less digits than its factorization.

1668365424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10655 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1668365424 is about 40845.6291908939. The cubic root of 1668365424 is about 1186.0337846211.

The spelling of 1668365424 in words is "one billion, six hundred sixty-eight million, three hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 10639 13068 14256 17424 19602 21278 26136 31917 39204 42556 52272 63834 78408 85112 95751 117029 127668 156816 170224 191502 234058 255336 287253 351087 383004 468116 510672 574506 702174 766008 861759 936232 1053261 1149012 1287319 1404348 1532016 1723518 1872464 2106522 2298024 2574638 2808696 3159783 3447036 3861957 4213044 4596048 5149276 5617392 6319566 6894072 7723914 8426088 9479349 10298552 11585871 12639132 13788144 15447828 16852176 18958698 20597104 23171742 25278264 30895656 34757613 37917396 46343484 50556528 61791312 69515226 75834792 92686968 104272839 139030452 151669584 185373936 208545678 278060904 417091356 556121808 834182712 1668365424