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426520520433336 = 233735960711650579
BaseRepresentation
bin110000011111010110000110…
…0000111000001111010111000
32001221011222000102021220111210
41200332230030013001322320
5421401103011212331321
64111044453323323120
7155561043052111260
oct14076541407017270
92057158012256453
10426520520433336
111139a237846589a
123ba0664b3804a0
13153cb935474794
1477479bbd547a0
153449b9e34db76
hex183eb0c1c1eb8

426520520433336 has 128 divisors (see below), whose sum is σ = 1224037896192000. Its totient is φ = 121323340605312.

The previous prime is 426520520433331. The next prime is 426520520433347. The reversal of 426520520433336 is 633334025025624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426520520433331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30784095 + ... + 42434673.

It is an arithmetic number, because the mean of its divisors is an integer number (9562796064000).

Almost surely, 2426520520433336 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 426520520433336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612018948096000).

426520520433336 is an abundant number, since it is smaller than the sum of its proper divisors (797517375758664).

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

426520520433336 is a wasteful number, since it uses less digits than its factorization.

426520520433336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651561 (or 11651557 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 48.

The spelling of 426520520433336 in words is "four hundred twenty-six trillion, five hundred twenty billion, five hundred twenty million, four hundred thirty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 359 607 718 1077 1214 1436 1821 2154 2428 2513 2872 3642 4249 4308 4856 5026 7284 7539 8498 8616 10052 12747 14568 15078 16996 20104 25494 30156 33992 50988 60312 101976 217913 435826 653739 871652 1307478 1525391 1743304 2614956 3050782 4576173 5229912 6101564 9152346 11650579 12203128 18304692 23301158 34951737 36609384 46602316 69903474 81554053 93204632 139806948 163108106 244662159 279613896 326216212 489324318 652432424 978648636 1957297272 4182557861 7071901453 8365115722 12547673583 14143802906 16730231444 21215704359 25095347166 28287605812 29277905027 33460462888 42431408718 49503310171 50190694332 56575211624 58555810054 84862817436 87833715081 99006620342 100381388664 117111620108 148509930513 169725634872 175667430162 198013240684 234223240216 297019861026 351334860324 396026481368 594039722052 702669720648 1188079444104 2538812621627 5077625243254 7616437864881 10155250486508 15232875729762 17771688351389 20310500973016 30465751459524 35543376702778 53315065054167 60931502919048 71086753405556 106630130108334 142173506811112 213260260216668 426520520433336