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14635720343556 = 2234132163492
BaseRepresentation
bin1101010011111010010011…
…1010011000000000000100
31220211011100111220110210000
43110332210322120000010
53404242423401443211
651043320200201300
73040252536202644
oct324764472300004
956734314813700
1014635720343556
114732a79643a74
121784601169230
138221b1118100
14388530770524
151a5a96b8b656
hexd4fa4e98004

14635720343556 has 135 divisors (see below), whose sum is σ = 41432720711151. Its totient is φ = 4503023119296.

The previous prime is 14635720343551. The next prime is 14635720343609. The reversal of 14635720343556 is 65534302753641.

The square root of 14635720343556 is 3825666.

It is a perfect power (a square), and thus also a powerful number.

14635720343556 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 57 + 2 + 0 + 34 + 3 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7002744912900 + 7632975430656 = 2646270^2 + 2762784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14635720343551) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 895197670 + ... + 895214018.

Almost surely, 214635720343556 is an apocalyptic number.

14635720343556 is the 3825666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14635720343556

14635720343556 is an abundant number, since it is smaller than the sum of its proper divisors (26797000367595).

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

14635720343556 is an frugal number, since it uses more digits than its factorization.

14635720343556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32740 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 14635720343556 in words is "fourteen trillion, six hundred thirty-five billion, seven hundred twenty million, three hundred forty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 16349 18252 27378 32698 49047 54756 65396 98094 147141 196188 212537 294282 425074 441423 588564 637611 850148 882846 1275222 1324269 1765692 1912833 2550444 2648538 2762981 3825666 5297076 5525962 5738499 7651332 8288943 11051924 11476998 16577886 17215497 22953996 24866829 33155772 34430994 49733658 68861988 74600487 99467316 149200974 223801461 267289801 298401948 447602922 534579602 801869403 895205844 1069159204 1603738806 2405608209 3207477612 3474767413 4811216418 6949534826 7216824627 9622432836 10424302239 13899069652 14433649254 20848604478 21650473881 28867298508 31272906717 41697208956 43300947762 45171976369 62545813434 86601895524 90343952738 93818720151 125091626868 135515929107 180687905476 187637440302 271031858214 281456160453 375274880604 406547787321 542063716428 562912320906 813095574642 1125824641812 1219643361963 1626191149284 2439286723926 3658930085889 4878573447852 7317860171778 14635720343556