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12288057848560 = 2451323513714793
BaseRepresentation
bin1011001011010000100101…
…0100101011001011110000
31121111201121212201222111101
42302310021110223023300
53102311420302123220
642045020021254144
72405532346224664
oct262641124531360
947451555658441
1012288057848560
113a08377340a5a
121465611864354
136b19b335c5a0
14306a60a808a4
15164991e8930a
hexb2d0952b2f0

12288057848560 has 80 divisors (see below), whose sum is σ = 32105119765824. Its totient is φ = 4339862562816.

The previous prime is 12288057848527. The next prime is 12288057848581. The reversal of 12288057848560 is 6584875088221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12288057848492 and 12288057848501.

It is a congruent number.

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, 256833477 + ... + 256881316.

Almost surely, 212288057848560 is an apocalyptic number.

12288057848560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288057848560 is an abundant number, since it is smaller than the sum of its proper divisors (19817061917264).

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

12288057848560 is a wasteful number, since it uses less digits than its factorization.

12288057848560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513714842 (or 513714836 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 64.

The spelling of 12288057848560 in words is "twelve trillion, two hundred eighty-eight billion, fifty-seven million, eight hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 513714793 1027429586 2054859172 2568573965 4109718344 5137147930 6678292309 8219436688 10274295860 11815440239 13356584618 20548591720 23630880478 26713169236 33391461545 41097183440 47261760956 53426338472 59077201195 66782923090 94523521912 106852676944 118154402390 133565846180 153600723107 189047043824 236308804780 267131692360 307201446214 472617609560 534263384720 614402892428 768003615535 945235219120 1228805784856 1536007231070 2457611569712 3072014462140 6144028924280 12288057848560