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12560453040 = 243553987457
BaseRepresentation
bin10111011001010100…
…10100110110110000
31012102100201010101110
423230222110312300
5201210433444130
65434210033320
7623155042422
oct135452246660
935370633343
1012560453040
115366059303
122526578840
1312522c4b45
1487222c812
154d7a7aab0
hex2eca94db0

12560453040 has 80 divisors (see below), whose sum is σ = 39672112608. Its totient is φ = 3286253568.

The previous prime is 12560452999. The next prime is 12560453047. The reversal of 12560453040 is 4035406521.

12560453040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12560452989 and 12560453007.

It is not an unprimeable number, because it can be changed into a prime (12560453047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481009 + ... + 506448.

Almost surely, 212560453040 is an apocalyptic number.

12560453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12560453040 is an abundant number, since it is smaller than the sum of its proper divisors (27111659568).

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

12560453040 is a wasteful number, since it uses less digits than its factorization.

12560453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987526 (or 987520 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12560453040 its reverse (4035406521), we get a palindrome (16595859561).

The spelling of 12560453040 in words is "twelve billion, five hundred sixty million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 987457 1974914 2962371 3949828 4937285 5924742 7899656 9874570 11849484 14811855 15799312 19749140 23698968 29623710 39498280 47397936 52335221 59247420 78996560 104670442 118494840 157005663 209340884 236989680 261676105 314011326 418681768 523352210 628022652 785028315 837363536 1046704420 1256045304 1570056630 2093408840 2512090608 3140113260 4186817680 6280226520 12560453040