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20421359660064 = 25311171137553457
BaseRepresentation
bin1001010010010101101111…
…11000110110110000100000
32200022021002200000000212110
410221022313320312300200
510134040421033110224
6111233235413555320
74205252221030206
oct451126770666040
980267080000773
1020421359660064
116563717165160
122359968045b40
13b51958bc2c8c
14508583117076
15256316a72929
hex1292b7e36c20

20421359660064 has 96 divisors (see below), whose sum is σ = 61919309825856. Its totient is φ = 5824273694720.

The previous prime is 20421359660041. The next prime is 20421359660077. The reversal of 20421359660064 is 46006695312402.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 20421359659995 and 20421359660022.

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, 568758777 + ... + 568794680.

It is an arithmetic number, because the mean of its divisors is an integer number (644992810686).

Almost surely, 220421359660064 is an apocalyptic number.

20421359660064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20421359660064 is an abundant number, since it is smaller than the sum of its proper divisors (41497950165792).

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

20421359660064 is a wasteful number, since it uses less digits than its factorization.

20421359660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137553498 (or 1137553490 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 20421359660064 in words is "twenty trillion, four hundred twenty-one billion, three hundred fifty-nine million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 1137553457 2275106914 3412660371 4550213828 6825320742 9100427656 12513088027 13650641484 18200855312 19338408769 25026176054 27301282968 36401710624 37539264081 38676817538 50052352108 54602565936 58015226307 75078528162 77353635076 100104704216 109205131872 116030452614 150157056324 154707270152 200209408432 212722496459 232060905228 300314112648 309414540304 400418816864 425444992918 464121810456 600628225296 618829080608 638167489377 850889985836 928243620912 1201256450592 1276334978754 1701779971672 1856487241824 2552669957508 3403559943344 5105339915016 6807119886688 10210679830032 20421359660064