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669717135360 = 21532572132331
BaseRepresentation
bin10011011111011100100…
…00001000000000000000
32101000122201221111000200
421233232100020000000
541433040041312420
61231355214245200
766246133503300
oct11575620100000
92330581844020
10669717135360
11239030955239
12a9966ab6800
134b2005c6620
14245b34a7600
151264a706b90
hex9bee408000

669717135360 has 2304 divisors, whose sum is σ = 3132795294720. Its totient is φ = 130799370240.

The previous prime is 669717135331. The next prime is 669717135379. The reversal of 669717135360 is 63531717966.

669717135360 is a `hidden beast` number, since 6 + 6 + 97 + 1 + 7 + 13 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 669717135297 and 669717135306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21603778545 + ... + 21603778575.

It is an arithmetic number, because the mean of its divisors is an integer number (1359720180).

Almost surely, 2669717135360 is an apocalyptic number.

669717135360 is a gapful number since it is divisible by the number (60) 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 669717135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566397647360).

669717135360 is an abundant number, since it is smaller than the sum of its proper divisors (2463078159360).

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

669717135360 is a wasteful number, since it uses less digits than its factorization.

669717135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 669717135360 in words is "six hundred sixty-nine billion, seven hundred seventeen million, one hundred thirty-five thousand, three hundred sixty".