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24420874680 = 23345172337521
BaseRepresentation
bin10110101111100110…
…001111100110111000
32100000221011222020000
4112233212033212320
5400003220442210
615115132033000
71523113003236
oct265746174670
970027158200
1024420874680
11a3a1a46664
124896602760
1323c2569207
1412794b5956
1597de29ac0
hex5af98f9b8

24420874680 has 640 divisors, whose sum is σ = 93318065280. Its totient is φ = 5693276160.

The previous prime is 24420874669. The next prime is 24420874747. The reversal of 24420874680 is 8647802442.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46872820 + ... + 46873340.

It is an arithmetic number, because the mean of its divisors is an integer number (145809477).

Almost surely, 224420874680 is an apocalyptic number.

24420874680 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 24420874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46659032640).

24420874680 is an abundant number, since it is smaller than the sum of its proper divisors (68897190600).

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

24420874680 is a wasteful number, since it uses less digits than its factorization.

24420874680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 24420874680 in words is "twenty-four billion, four hundred twenty million, eight hundred seventy-four thousand, six hundred eighty".