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666434418145824 = 25364033108413243
BaseRepresentation
bin1001011110000111100101101…
…0110000100111101000100000
310020101122111201110012120122010
42113201321122300213220200
51144322330142021131244
610321215424542312520
7260242204101232416
oct22741713260475040
93211574643176563
10666434418145824
1118338a282152209
12628b3556288740
13227b265a8657a3
14ba7d852a812b6
15520a74e04aeb9
hex25e1e5ac27a20

666434418145824 has 48 divisors (see below), whose sum is σ = 1749417683906592. Its totient is φ = 222141334775808.

The previous prime is 666434418145759. The next prime is 666434418145829. The reversal of 666434418145824 is 428541814434666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (666434418145829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48059454 + ... + 60353789.

It is an arithmetic number, because the mean of its divisors is an integer number (36446201748054).

Almost surely, 2666434418145824 is an apocalyptic number.

It is an amenable number.

666434418145824 is an abundant number, since it is smaller than the sum of its proper divisors (1082983265760768).

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

666434418145824 is a wasteful number, since it uses less digits than its factorization.

666434418145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108477289 (or 108477281 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 66.

The spelling of 666434418145824 in words is "six hundred sixty-six trillion, four hundred thirty-four billion, four hundred eighteen million, one hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 64033 128066 192099 256132 384198 512264 768396 1024528 1536792 2049056 3073584 6147168 108413243 216826486 325239729 433652972 650479458 867305944 1300958916 1734611888 2601917832 3469223776 5203835664 10407671328 6942025189019 13884050378038 20826075567057 27768100756076 41652151134114 55536201512152 83304302268228 111072403024304 166608604536456 222144806048608 333217209072912 666434418145824