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21464312358480 = 2435239374203493
BaseRepresentation
bin1001110000101100011001…
…01101101010011001010000
32210222222010211111121121120
410320112030231222121100
510303132402430432410
6113352322521522240
74343513445504225
oct470261455523120
983888124447546
1021464312358480
116925a66831112
1224a7b16943380
13bc90caba34a4
14542c41d3d94c
1527350911e570
hex13858cb6a650

21464312358480 has 80 divisors (see below), whose sum is σ = 66817775888640. Its totient is φ = 5699867590144.

The previous prime is 21464312358469. The next prime is 21464312358481. The reversal of 21464312358480 is 8485321346412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21464312358481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187044387 + ... + 187159106.

It is an arithmetic number, because the mean of its divisors is an integer number (835222198608).

Almost surely, 221464312358480 is an apocalyptic number.

21464312358480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21464312358480 is an abundant number, since it is smaller than the sum of its proper divisors (45353463530160).

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

21464312358480 is a wasteful number, since it uses less digits than its factorization.

21464312358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374203748 (or 374203742 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 21464312358480 in words is "twenty-one trillion, four hundred sixty-four billion, three hundred twelve million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 28680 57360 374203493 748406986 1122610479 1496813972 1871017465 2245220958 2993627944 3742034930 4490441916 5613052395 5987255888 7484069860 8980883832 11226104790 14968139720 17961767664 22452209580 29936279440 44904419160 89434634827 89808838320 178869269654 268303904481 357738539308 447173174135 536607808962 715477078616 894346348270 1073215617924 1341519522405 1430954157232 1788692696540 2146431235848 2683039044810 3577385393080 4292862471696 5366078089620 7154770786160 10732156179240 21464312358480