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20234868640 = 2557472691429
BaseRepresentation
bin10010110110000101…
…111001011110100000
31221020012110211110021
4102312011321132200
5312420111244030
613143515243224
71314303355060
oct226605713640
957205424407
1020234868640
118644068338
123b08749514
131ba624cc6c
14d9d5833a0
157d66b197a
hex4b61797a0

20234868640 has 192 divisors, whose sum is σ = 56043187200. Its totient is φ = 6760083456.

The previous prime is 20234868637. The next prime is 20234868649. The reversal of 20234868640 is 4686843202.

It is not an unprimeable number, because it can be changed into a prime (20234868649) 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 31 ways as a sum of consecutive naturals, for example, 14159446 + ... + 14160874.

It is an arithmetic number, because the mean of its divisors is an integer number (291891600).

Almost surely, 220234868640 is an apocalyptic number.

20234868640 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 20234868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021593600).

20234868640 is an abundant number, since it is smaller than the sum of its proper divisors (35808318560).

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

20234868640 is a wasteful number, since it uses less digits than its factorization.

20234868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 20234868640 in words is "twenty billion, two hundred thirty-four million, eight hundred sixty-eight thousand, six hundred forty".