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9946370214 = 234115994603
BaseRepresentation
bin10010100001101100…
…11001000010100110
3221200011211221220000
421100312121002212
5130332232321324
64322545122130
7501323515614
oct112066310246
927604757800
109946370214
114244515180
121b17029346
13c26860b81
146a4da26b4
153d33179c9
hex250d990a6

9946370214 has 80 divisors (see below), whose sum is σ = 24725701440. Its totient is φ = 2962934640.

The previous prime is 9946370209. The next prime is 9946370219. The reversal of 9946370214 is 4120736499.

It is a happy number.

9946370214 is a `hidden beast` number, since 9 + 9 + 4 + 637 + 0 + 2 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9946370209) and next prime (9946370219).

It is a self number, because there is not a number n which added to its sum of digits gives 9946370214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946370219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57837 + ... + 152439.

It is an arithmetic number, because the mean of its divisors is an integer number (309071268).

Almost surely, 29946370214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946370214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362850720).

9946370214 is an abundant number, since it is smaller than the sum of its proper divisors (14779331226).

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

9946370214 is a wasteful number, since it uses less digits than its factorization.

9946370214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94687 (or 94678 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9946370214 is about 99731.4905834662. The cubic root of 9946370214 is about 2150.5763887481.

The spelling of 9946370214 in words is "nine billion, nine hundred forty-six million, three hundred seventy thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 891 1062 1298 1593 1782 1947 3186 3894 4779 5841 9558 11682 17523 35046 52569 94603 105138 189206 283809 567618 851427 1040633 1702854 2081266 2554281 3121899 5108562 5581577 6243798 7662843 9365697 11163154 15325686 16744731 18731394 28097091 33489462 50234193 56194182 61397347 84291273 100468386 122794694 150702579 168582546 184192041 301405158 368384082 452107737 552576123 904215474 1105152246 1657728369 3315456738 4973185107 9946370214