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23882839812 = 223213791933347
BaseRepresentation
bin10110001111100001…
…110011011100000100
32021122102202222010200
4112033201303130010
5342403001333222
614545512050500
71503560534406
oct261741633404
967572688120
1023882839812
11a146271047
124766393a30
132337c57ba0
141227c5cb76
1594ba9beac
hex58f873704

23882839812 has 144 divisors (see below), whose sum is σ = 66198263040. Its totient is φ = 7215796224.

The previous prime is 23882839789. The next prime is 23882839823. The reversal of 23882839812 is 21893828832.

It is a happy number.

23882839812 is a `hidden beast` number, since 238 + 8 + 2 + 8 + 398 + 12 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7133923 + ... + 7137269.

It is an arithmetic number, because the mean of its divisors is an integer number (459710160).

Almost surely, 223882839812 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 23882839812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33099131520).

23882839812 is an abundant number, since it is smaller than the sum of its proper divisors (42315423228).

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

23882839812 is a wasteful number, since it uses less digits than its factorization.

23882839812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3637 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 23882839812 in words is "twenty-three billion, eight hundred eighty-two million, eight hundred thirty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 193 234 237 316 386 468 474 579 711 772 948 1027 1158 1422 1737 2054 2316 2509 2844 3081 3347 3474 4108 5018 6162 6694 6948 7527 9243 10036 10041 12324 13388 15054 15247 18486 20082 22581 30108 30123 30494 36972 40164 43511 45162 45741 60246 60988 87022 90324 91482 120492 130533 137223 174044 182964 198211 261066 264413 274446 391599 396422 522132 528826 548892 594633 645971 783198 792844 793239 1057652 1189266 1291942 1566396 1586478 1783899 1937913 2378532 2379717 2583884 3172956 3437369 3567798 3875826 4759434 5813739 6874738 7135596 7751652 8397623 9518868 10312107 11627478 13749476 16795246 20624214 23254956 25192869 30936321 33590492 41248428 50385738 51031709 61872642 75578607 100771476 102063418 123745284 151157214 153095127 204126836 302314428 306190254 459285381 612380508 663412217 918570762 1326824434 1837141524 1990236651 2653648868 3980473302 5970709953 7960946604 11941419906 23882839812