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16434247331505 = 35172910352141413
BaseRepresentation
bin1110111100100110010101…
…1110010110111010110001
32011012002122221201212120210
43233021211132112322301
54123224314304102010
654541442231254333
73314222653311153
oct357114536267261
964162587655523
1016434247331505
1152667a81a6923
121a1509821a3a9
1392298712a043
1440b5c9662ad3
151d775c22bb20
hexef265796eb1

16434247331505 has 128 divisors (see below), whose sum is σ = 29137750686720. Its totient is φ = 7872229048320.

The previous prime is 16434247331477. The next prime is 16434247331521. The reversal of 16434247331505 is 50513374243461.

It is not a de Polignac number, because 16434247331505 - 213 = 16434247323313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 396817179 + ... + 396858591.

It is an arithmetic number, because the mean of its divisors is an integer number (227638677240).

Almost surely, 216434247331505 is an apocalyptic number.

16434247331505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16434247331505 is a deficient number, since it is larger than the sum of its proper divisors (12703503355215).

16434247331505 is a wasteful number, since it uses less digits than its factorization.

16434247331505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42091.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 16434247331505 in words is "sixteen trillion, four hundred thirty-four billion, two hundred forty-seven million, three hundred thirty-one thousand, five hundred five".

Divisors: 1 3 5 15 17 29 51 85 87 103 145 255 309 435 493 515 521 1479 1545 1563 1751 2465 2605 2987 5253 7395 7815 8755 8857 8961 14935 15109 26265 26571 41413 44285 44805 45327 50779 53663 75545 124239 132855 152337 160989 207065 226635 253895 256853 268315 621195 704021 761685 770559 804945 912271 1200977 1284265 1556227 2112063 2736813 3520105 3602931 3852795 4265539 4561355 4668681 6004885 7781135 10560315 12796617 13684065 18014655 20416609 21327695 21576173 23343405 26455859 61249827 63983085 64728519 72514163 79367577 102083045 107880865 123700631 132279295 217542489 306249135 323642595 362570815 366794941 371101893 396837885 618503155 625709017 1087712445 1100384823 1833974705 1855509465 1877127051 2102910727 2222345819 3128545085 5501924115 6308732181 6667037457 9385635255 10514553635 10637053289 11111729095 31543660905 31911159867 33335187285 37779878923 53185266445 64448028751 113339636769 159555799335 188899394615 193344086253 322240143755 566698183845 966720431265 1095616488767 3286849466301 5478082443835 16434247331505