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16443465251055 = 35233191471721
BaseRepresentation
bin1110111101001000101011…
…1001111011100011101111
32011012222110100212201000120
43233102022321323203233
54123402204101013210
654550005035300023
73315000253322163
oct357221271734357
964188410781016
1016443465251055
11526a6a84aa257
121a16a2b2aa613
139237c5a99acb
1440bc219a2ca3
151d7aeb602270
hexef48ae7b8ef

16443465251055 has 64 divisors (see below), whose sum is σ = 27649400094720. Its totient is φ = 8344613587200.

The previous prime is 16443465251033. The next prime is 16443465251071. The reversal of 16443465251055 is 55015256434461.

It is a de Polignac number, because none of the positive numbers 2k-16443465251055 is a prime.

It is a super-3 number, since 3×164434652510553 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16443465250989 and 16443465251007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34622595 + ... + 35094315.

It is an arithmetic number, because the mean of its divisors is an integer number (432021876480).

Almost surely, 216443465251055 is an apocalyptic number.

16443465251055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16443465251055 is a deficient number, since it is larger than the sum of its proper divisors (11205934843665).

16443465251055 is an equidigital number, since it uses as much as digits as its factorization.

16443465251055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471989 (or 471943 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 16443465251055 in words is "sixteen trillion, four hundred forty-three billion, four hundred sixty-five million, two hundred fifty-one thousand, fifty-five".

Divisors: 1 3 5 15 23 69 115 191 345 529 573 955 1587 2645 2865 4393 7935 12167 13179 21965 36501 60835 65895 101039 182505 303117 471721 505195 1415163 1515585 2323897 2358605 6971691 7075815 10849583 11619485 32548749 34858455 54247915 90098711 162743745 249540409 270296133 450493555 748621227 1247702045 1351480665 2072270353 3743106135 5739429407 6216811059 10361351765 17218288221 28697147035 31084055295 47662218119 86091441105 142986654357 238311090595 714933271785 1096231016737 3288693050211 5481155083685 16443465251055