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669949937280 = 27345131758477
BaseRepresentation
bin10011011111111000010…
…00001100011010000000
32101001020222000001020000
421233330020030122000
541434024140443110
61231434252120000
766254661336141
oct11577410143200
92331228001200
10669949937280
11239140301818
12a9a10a66000
134b2398c7040
14245d6387ac8
1512660d901c0
hex9bfc20c680

669949937280 has 640 divisors, whose sum is σ = 2728160099280. Its totient is φ = 155207467008.

The previous prime is 669949937231. The next prime is 669949937281. The reversal of 669949937280 is 82739949966.

669949937280 is a `hidden beast` number, since 6 + 6 + 9 + 94 + 99 + 372 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 347807421504 + 322142515776 = 589752^2 + 567576^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6699499372802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 669949937199 and 669949937208.

It is not an unprimeable number, because it can be changed into a prime (669949937281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11427402 + ... + 11485878.

Almost surely, 2669949937280 is an apocalyptic number.

669949937280 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 669949937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364080049640).

669949937280 is an abundant number, since it is smaller than the sum of its proper divisors (2058210162000).

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

669949937280 is a wasteful number, since it uses less digits than its factorization.

669949937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58538 (or 58517 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 669949937280 in words is "six hundred sixty-nine billion, nine hundred forty-nine million, nine hundred thirty-seven thousand, two hundred eighty".