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83014614224 = 2482923772633
BaseRepresentation
bin100110101010000001…
…1100111110011010000
321221021102122100021122
41031110003213303100
52330003220123344
6102045243141412
75666115402233
oct1152403476320
9257242570248
1083014614224
113222a6493a3
1214109514868
137a9c865209
1440372a741a
15225ce9caee
hex13540e7cd0

83014614224 has 40 divisors (see below), whose sum is σ = 161163765960. Its totient is φ = 41424058368.

The previous prime is 83014614203. The next prime is 83014614229. The reversal of 83014614224 is 42241641038.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3072706624 + 79941907600 = 55432^2 + 282740^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83014614229) 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 7 ways as a sum of consecutive naturals, for example, 31527212 + ... + 31529844.

It is an arithmetic number, because the mean of its divisors is an integer number (4029094149).

Almost surely, 283014614224 is an apocalyptic number.

It is an amenable number.

83014614224 is a deficient number, since it is larger than the sum of its proper divisors (78149151736).

83014614224 is a wasteful number, since it uses less digits than its factorization.

83014614224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 83014614224 in words is "eighty-three billion, fourteen million, six hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 829 1658 2377 2633 3316 4754 5266 6632 9508 10532 13264 19016 21064 38032 42128 1970533 2182757 3941066 4365514 6258641 7882132 8731028 12517282 15764264 17462056 25034564 31528528 34924112 50069128 100138256 5188413389 10376826778 20753653556 41507307112 83014614224