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426420425222544 = 2433110122912390197
BaseRepresentation
bin110000011110100111011110…
…1111110000110100110010000
32001220211101122121111100121110
41200331032331332012212100
5421342433012324110134
64110530501115453320
7155550600440625264
oct14075167576064620
92056741577440543
10426420425222544
1111396398330a495
123b9ab175757240
13153c237300a3bc
147742c043cc0a4
153447291aa87e9
hex183d3bdf86990

426420425222544 has 160 divisors (see below), whose sum is σ = 1153394610877440. Its totient is φ = 135598305024000.

The previous prime is 426420425222537. The next prime is 426420425222557. The reversal of 426420425222544 is 445222524024624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 426420425222493 and 426420425222502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28220854 + ... + 40611050.

It is an arithmetic number, because the mean of its divisors is an integer number (7208716317984).

Almost surely, 2426420425222544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426420425222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576697305438720).

426420425222544 is an abundant number, since it is smaller than the sum of its proper divisors (726974185654896).

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

426420425222544 is a wasteful number, since it uses less digits than its factorization.

426420425222544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12390569 (or 12390563 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 48.

The spelling of 426420425222544 in words is "four hundred twenty-six trillion, four hundred twenty billion, four hundred twenty-five million, two hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 229 248 303 372 404 458 496 606 687 744 808 916 1212 1374 1488 1616 1832 2424 2748 3131 3664 4848 5496 6262 7099 9393 10992 12524 14198 18786 21297 23129 25048 28396 37572 42594 46258 50096 56792 69387 75144 85188 92516 113584 138774 150288 170376 185032 277548 340752 370064 555096 716999 1110192 1433998 2150997 2867996 4301994 5735992 8603988 11471984 12390197 17207976 24780394 34415952 37170591 49560788 74341182 99121576 148682364 198243152 297364728 384096107 594729456 768192214 1152288321 1251409897 1536384428 2304576642 2502819794 2837355113 3072768856 3754229691 4609153284 5005639588 5674710226 6145537712 7508459382 8512065339 9218306568 10011279176 11349420452 15016918764 17024130678 18436613136 20022558352 22698840904 30033837528 34048261356 38793706807 45397681808 60067675056 68096522712 77587413614 87958008503 116381120421 136193045424 155174827228 175916017006 232762240842 263874025509 286572866413 310349654456 351832034012 465524481684 527748051018 573145732826 620699308912 703664068024 859718599239 931048963368 1055496102036 1146291465652 1407328136048 1719437198478 1862097926736 2110992204072 2292582931304 3438874396956 4221984408144 4585165862608 6877748793912 8883758858803 13755497587824 17767517717606 26651276576409 35535035435212 53302553152818 71070070870424 106605106305636 142140141740848 213210212611272 426420425222544