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24412413420 = 2234589169319
BaseRepresentation
bin10110101111000101…
…111101110111101100
32100000100021002120000
4112233011331313230
5344444034212140
615114230424300
71522651042653
oct265705756754
970010232500
1024412413420
11a39819758a
124893802090
1323c0895b55
14127831219a
1597d307a30
hex5af17ddec

24412413420 has 120 divisors (see below), whose sum is σ = 77443581600. Its totient is φ = 6436793088.

The previous prime is 24412413407. The next prime is 24412413437. The reversal of 24412413420 is 2431421442.

24412413420 is a `hidden beast` number, since 244 + 1 + 2 + 413 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59521 + ... + 228839.

It is an arithmetic number, because the mean of its divisors is an integer number (645363180).

Almost surely, 224412413420 is an apocalyptic number.

24412413420 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 24412413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38721790800).

24412413420 is an abundant number, since it is smaller than the sum of its proper divisors (53031168180).

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

24412413420 is a wasteful number, since it uses less digits than its factorization.

24412413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169429 (or 169418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24412413420 its reverse (2431421442), we get a palindrome (26843834862).

The spelling of 24412413420 in words is "twenty-four billion, four hundred twelve million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 16020 24030 28836 36045 48060 72090 144180 169319 338638 507957 677276 846595 1015914 1523871 1693190 2031828 2539785 3047742 3386380 4571613 5079570 6095484 7619355 9143226 10159140 13714839 15069391 15238710 18286452 22858065 27429678 30138782 30477420 45208173 45716130 54859356 60277564 68574195 75346955 90416346 91432260 135624519 137148390 150693910 180832692 226040865 271249038 274296780 301387820 406873557 452081730 542498076 678122595 813747114 904163460 1220620671 1356245190 1627494228 2034367785 2441241342 2712490380 4068735570 4882482684 6103103355 8137471140 12206206710 24412413420