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20242424312 = 23116726912763
BaseRepresentation
bin10010110110100010…
…101110000111111000
31221020201200200212222
4102312202232013320
5312424030034222
613144345223212
71314424524215
oct226642560770
957221620788
1020242424312
118648358aa0
123b0b191b08
131ba7997086
14da058cb0c
157d71a5542
hex4b68ae1f8

20242424312 has 64 divisors (see below), whose sum is σ = 42182467200. Its totient is φ = 9029370240.

The previous prime is 20242424287. The next prime is 20242424327. The reversal of 20242424312 is 21342424202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579643 + ... + 1592405.

It is an arithmetic number, because the mean of its divisors is an integer number (659101050).

Almost surely, 220242424312 is an apocalyptic number.

20242424312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091233600).

20242424312 is an abundant number, since it is smaller than the sum of its proper divisors (21940042888).

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

20242424312 is a wasteful number, since it uses less digits than its factorization.

20242424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20242424312 its reverse (21342424202), we get a palindrome (41584848514).

The spelling of 20242424312 in words is "twenty billion, two hundred forty-two million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 269 536 538 737 1076 1474 2152 2948 2959 5896 5918 11836 12763 18023 23672 25526 36046 51052 72092 102104 140393 144184 198253 280786 396506 561572 793012 855121 1123144 1586024 1710242 3420484 3433247 6840968 6866494 9406331 13732988 18812662 27465976 37625324 37765717 75250648 75531434 151062868 230027549 302125736 460055098 920110196 1840220392 2530303039 5060606078 10121212156 20242424312