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9814666680 = 233257213127337
BaseRepresentation
bin10010010001111111…
…11110110110111000
3221100000000201121100
421020333332312320
5130100023313210
64301522211400
7465134201400
oct111077766670
927300021540
109814666680
11418713a385
121a9aab3b60
13c05499ba0
146916bb800
153c699e5c0
hex248ffedb8

9814666680 has 576 divisors, whose sum is σ = 40393866240. Its totient is φ = 2048385024.

The previous prime is 9814666669. The next prime is 9814666747. The reversal of 9814666680 is 866664189.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29123472 + ... + 29123808.

It is an arithmetic number, because the mean of its divisors is an integer number (70128240).

Almost surely, 29814666680 is an apocalyptic number.

9814666680 is a gapful number since it is divisible by the number (90) 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 9814666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196933120).

9814666680 is an abundant number, since it is smaller than the sum of its proper divisors (30579199560).

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

9814666680 is a wasteful number, since it uses less digits than its factorization.

9814666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9814666680 is about 99068.9995911940. Note that the first 3 decimals coincide. The cubic root of 9814666680 is about 2141.0419911769.

The spelling of 9814666680 in words is "nine billion, eight hundred fourteen million, six hundred sixty-six thousand, six hundred eighty".