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2023542066 = 23713191311489
BaseRepresentation
bin111100010011100…
…1100110100110010
312020000122120212110
41320213030310302
513121011321231
6532443310150
7101100552360
oct17047146462
95200576773
102023542066
11949267117
1248581b356
132632caa90
14152a66630
15bc9b3046
hex789ccd32

2023542066 has 128 divisors (see below), whose sum is σ = 5286758400. Its totient is φ = 501396480.

The previous prime is 2023542049. The next prime is 2023542083. The reversal of 2023542066 is 6602453202.

It is an interprime number because it is at equal distance from previous prime (2023542049) and next prime (2023542083).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358250 + ... + 1359738.

It is an arithmetic number, because the mean of its divisors is an integer number (41302800).

Almost surely, 22023542066 is an apocalyptic number.

2023542066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023542066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643379200).

2023542066 is an abundant number, since it is smaller than the sum of its proper divisors (3263216334).

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

2023542066 is a wasteful number, since it uses less digits than its factorization.

2023542066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2023542066 is about 44983.7978165472. The cubic root of 2023542066 is about 1264.8453030428.

Adding to 2023542066 its reverse (6602453202), we get a palindrome (8625995268).

The spelling of 2023542066 in words is "two billion, twenty-three million, five hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 131 133 182 247 262 266 273 393 399 494 546 741 786 798 917 1482 1489 1703 1729 1834 2489 2751 2978 3406 3458 4467 4978 5109 5187 5502 7467 8934 10218 10374 10423 11921 14934 17423 19357 20846 23842 28291 31269 32357 34846 35763 38714 52269 56582 58071 62538 64714 71526 84873 97071 104538 116142 135499 169746 194142 195059 198037 226499 270998 367783 390118 396074 406497 452998 585177 594111 679497 735566 812994 1103349 1170354 1188222 1358994 1365413 2206698 2535767 2574481 2730826 3706121 4096239 5071534 5148962 7412242 7607301 7723443 8192478 11118363 15214602 15446886 17750369 22236726 25942847 35500738 48179573 51885694 53251107 77828541 96359146 106502214 144538719 155657082 289077438 337257011 674514022 1011771033 2023542066