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424521424640 = 2852692774451
BaseRepresentation
bin1100010110101110111…
…00101101111100000000
31111120202121221210211102
412023113130231330000
523423404441042030
6523004503233532
742446015366645
oct6132734557400
91446677853742
10424521424640
111540473056a5
126a3374488a8
1331055981471
1416792b6ddcc
15b099585c45
hex62d772df00

424521424640 has 144 divisors (see below), whose sum is σ = 1024556389920. Its totient is φ = 168528691200.

The previous prime is 424521424627. The next prime is 424521424651. The reversal of 424521424640 is 46424125424.

It is a junction number, because it is equal to n+sod(n) for n = 424521424594 and 424521424603.

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, 95374415 + ... + 95378865.

It is an arithmetic number, because the mean of its divisors is an integer number (7114974930).

Almost surely, 2424521424640 is an apocalyptic number.

424521424640 is a gapful number since it is divisible by the number (40) 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 424521424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512278194960).

424521424640 is an abundant number, since it is smaller than the sum of its proper divisors (600034965280).

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

424521424640 is a wasteful number, since it uses less digits than its factorization.

424521424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 424521424640 in words is "four hundred twenty-four billion, five hundred twenty-one million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 277 320 538 554 640 1076 1108 1280 1345 1385 2152 2216 2690 2770 4304 4432 4451 5380 5540 8608 8864 8902 10760 11080 17216 17728 17804 21520 22160 22255 34432 35456 35608 43040 44320 44510 68864 70912 71216 74513 86080 88640 89020 142432 149026 172160 177280 178040 284864 298052 344320 354560 356080 372565 569728 596104 712160 745130 1139456 1192208 1197319 1232927 1424320 1490260 2384416 2394638 2465854 2848640 2980520 4768832 4789276 4931708 5697280 5961040 5986595 6164635 9537664 9578552 9863416 11922080 11973190 12329270 19075328 19157104 19726832 23844160 23946380 24658540 38314208 39453664 47688320 47892760 49317080 76628416 78907328 95376640 95785520 98634160 153256832 157814656 191571040 197268320 306513664 315629312 331657363 383142080 394536640 663314726 766284160 789073280 1326629452 1532568320 1578146560 1658286815 2653258904 3316573630 5306517808 6633147260 10613035616 13266294520 21226071232 26532589040 42452142464 53065178080 84904284928 106130356160 212260712320 424521424640