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12420066564 = 2232632354563
BaseRepresentation
bin10111001000100101…
…10010110100000100
31012001120112202100100
423210102302310010
5200414014112224
65412233044100
7616531552413
oct134422626404
935046482310
1012420066564
1152a3892924
1224a7556630
13122c1b0919
1485b72747a
154ca599ac9
hex2e44b2d04

12420066564 has 36 divisors (see below), whose sum is σ = 31400708976. Its totient is φ = 4139291568.

The previous prime is 12420066557. The next prime is 12420066569. The reversal of 12420066564 is 46566002421.

12420066564 is a `hidden beast` number, since 12 + 4 + 20 + 0 + 66 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12420066569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200347 + ... + 254909.

It is an arithmetic number, because the mean of its divisors is an integer number (872241916).

Almost surely, 212420066564 is an apocalyptic number.

It is an amenable number.

12420066564 is an abundant number, since it is smaller than the sum of its proper divisors (18980642412).

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

12420066564 is a wasteful number, since it uses less digits than its factorization.

12420066564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60896 (or 60891 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12420066564 its reverse (46566002421), we get a palindrome (58986068985).

The spelling of 12420066564 in words is "twelve billion, four hundred twenty million, sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6323 12646 18969 25292 37938 54563 56907 75876 109126 113814 163689 218252 227628 327378 491067 654756 982134 1964268 345001849 690003698 1035005547 1380007396 2070011094 3105016641 4140022188 6210033282 12420066564