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12812447040 = 263513346299
BaseRepresentation
bin10111110111010111…
…00110110101000000
31020001220212202011120
423323223212311000
5202214441301130
65515211112240
7632335001001
oct137353466500
936056782146
1012812447040
115485324108
122596a42680
131292585013
148978a71a8
154eec55910
hex2fbae6d40

12812447040 has 56 divisors (see below), whose sum is σ = 40679522400. Its totient is φ = 3416652288.

The previous prime is 12812447017. The next prime is 12812447041. The reversal of 12812447040 is 4074421821.

It is a junction number, because it is equal to n+sod(n) for n = 12812446992 and 12812447010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812447041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6672190 + ... + 6674109.

Almost surely, 212812447040 is an apocalyptic number.

12812447040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12812447040 is an abundant number, since it is smaller than the sum of its proper divisors (27867075360).

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

12812447040 is a wasteful number, since it uses less digits than its factorization.

12812447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346319 (or 13346309 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

Adding to 12812447040 its reverse (4074421821), we get a palindrome (16886868861).

The spelling of 12812447040 in words is "twelve billion, eight hundred twelve million, four hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13346299 26692598 40038897 53385196 66731495 80077794 106770392 133462990 160155588 200194485 213540784 266925980 320311176 400388970 427081568 533851960 640622352 800777940 854163136 1067703920 1281244704 1601555880 2135407840 2562489408 3203111760 4270815680 6406223520 12812447040