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14083565856 = 2533115433067
BaseRepresentation
bin11010001110111001…
…00010100100100000
31100100111201021101020
431013130202210200
5212320343101411
610245255405440
71006001222523
oct150734424440
940314637336
1014083565856
115a77895528
122890683880
131435a1a329
1497862abba
1557663d606
hex347722920

14083565856 has 96 divisors (see below), whose sum is σ = 38199103488. Its totient is φ = 4538661120.

The previous prime is 14083565801. The next prime is 14083565879. The reversal of 14083565856 is 65856538041.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 14083565799 and 14083565808.

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, 4590435 + ... + 4593501.

It is an arithmetic number, because the mean of its divisors is an integer number (397907328).

Almost surely, 214083565856 is an apocalyptic number.

14083565856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083565856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099551744).

14083565856 is an abundant number, since it is smaller than the sum of its proper divisors (24115537632).

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

14083565856 is a wasteful number, since it uses less digits than its factorization.

14083565856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 14083565856 in words is "fourteen billion, eighty-three million, five hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1543 2976 3067 3086 4629 6134 6172 9201 9258 12268 12344 18402 18516 24536 24688 36804 37032 47833 49072 49376 73608 74064 95077 95666 98144 143499 147216 148128 190154 191332 285231 286998 294432 380308 382664 570462 573996 760616 765328 1140924 1147992 1521232 1530656 2281848 2295984 3042464 4563696 4591968 4732381 9127392 9464762 14197143 18929524 28394286 37859048 56788572 75718096 113577144 146703811 151436192 227154288 293407622 440111433 454308576 586815244 880222866 1173630488 1760445732 2347260976 3520891464 4694521952 7041782928 14083565856