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12556354664 = 237343106417
BaseRepresentation
bin10111011000110101…
…01100010001101000
31012102001222220110202
423230122230101220
5201203411322124
65433542131332
7623105153000
oct135432542150
935361886422
1012556354664
11536380a117
122525120b48
1312514bb579
14871883000
154d751b5ae
hex2ec6ac468

12556354664 has 64 divisors (see below), whose sum is σ = 28094352000. Its totient is φ = 5256099072.

The previous prime is 12556354661. The next prime is 12556354697. The reversal of 12556354664 is 46645365521.

It is not an unprimeable number, because it can be changed into a prime (12556354661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64784 + ... + 171200.

It is an arithmetic number, because the mean of its divisors is an integer number (438974250).

Almost surely, 212556354664 is an apocalyptic number.

12556354664 is a gapful number since it is divisible by the number (14) 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 12556354664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047176000).

12556354664 is an abundant number, since it is smaller than the sum of its proper divisors (15537997336).

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

12556354664 is a wasteful number, since it uses less digits than its factorization.

12556354664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106487 (or 106469 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 47.

The spelling of 12556354664 in words is "twelve billion, five hundred fifty-six million, three hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 343 344 392 602 686 1204 1372 2107 2408 2744 4214 8428 14749 16856 29498 58996 106417 117992 212834 425668 744919 851336 1489838 2979676 4575931 5214433 5959352 9151862 10428866 18303724 20857732 32031517 36501031 36607448 41715464 64063034 73002062 128126068 146004124 224220619 256252136 292008248 448441238 896882476 1569544333 1793764952 3139088666 6278177332 12556354664