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12663152516256 = 2531111991621701
BaseRepresentation
bin1011100001000101111010…
…1101010001110010100000
31122211120210212112101100020
42320101132231101302200
53124433114021010011
642533212201553440
72444611503260514
oct270213655216240
948746725471306
1012663152516256
11404245a5165a0
1215062541a5880
1370b18cc5bab8
1431ac852a0144
1516e5e7160006
hexb845eb51ca0

12663152516256 has 48 divisors (see below), whose sum is σ = 36262664026848. Its totient is φ = 3837318944000.

The previous prime is 12663152516249. The next prime is 12663152516263. The reversal of 12663152516256 is 65261525136621.

It is an interprime number because it is at equal distance from previous prime (12663152516249) and next prime (12663152516263).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12663152516199 and 12663152516208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5995809795 + ... + 5995811906.

It is an arithmetic number, because the mean of its divisors is an integer number (755472167226).

Almost surely, 212663152516256 is an apocalyptic number.

12663152516256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12663152516256 is an abundant number, since it is smaller than the sum of its proper divisors (23599511510592).

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

12663152516256 is a wasteful number, since it uses less digits than its factorization.

12663152516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991621725 (or 11991621717 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 51.

The spelling of 12663152516256 in words is "twelve trillion, six hundred sixty-three billion, one hundred fifty-two million, five hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11991621701 23983243402 35974865103 47966486804 71949730206 95932973608 131907838711 143899460412 191865947216 263815677422 287798920824 383731894432 395723516133 527631354844 575597841648 791447032266 1055262709688 1151195683296 1582894064532 2110525419376 3165788129064 4221050838752 6331576258128 12663152516256