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20242413000 = 2333535211439
BaseRepresentation
bin10010110110100010…
…101011010111001000
31221020201200010101000
4102312202223113020
5312424024204000
613144345055000
71314424446225
oct226642532710
957221603330
1020242413000
118648350547
123b0b187460
131ba7991b94
14da058894c
157d71a2000
hex4b68ab5c8

20242413000 has 256 divisors, whose sum is σ = 70357248000. Its totient is φ = 5383872000.

The previous prime is 20242412987. The next prime is 20242413001. The reversal of 20242413000 is 31424202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20242413001) by changing a digit.

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, 14066281 + ... + 14067719.

It is an arithmetic number, because the mean of its divisors is an integer number (274833000).

Almost surely, 220242413000 is an apocalyptic number.

20242413000 is a gapful number since it is divisible by the number (20) 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 20242413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178624000).

20242413000 is an abundant number, since it is smaller than the sum of its proper divisors (50114835000).

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

20242413000 is a wasteful number, since it uses less digits than its factorization.

20242413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20242413000 its reverse (31424202), we get a palindrome (20273837202).

The spelling of 20242413000 in words is "twenty billion, two hundred forty-two million, four hundred thirteen thousand".