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83351731849 = 44926432
BaseRepresentation
bin100110110100000100…
…1100111111010001001
321222010220222200201121
41031220021213322021
52331201020404344
6102142524515241
76010351013401
oct1155011477211
9258126880647
1083351731849
1132392974901
12141a23abb21
137b2465a8b9
144069d7d801
15227c88e684
hex1368267e89

83351731849 has 9 divisors (see below), whose sum is σ = 83667904743. Its totient is φ = 83036752512.

The previous prime is 83351731847. The next prime is 83351731873. The reversal of 83351731849 is 94813715338.

The square root of 83351731849 is 288707.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50937330249 + 32414401600 = 225693^2 + 180040^2 .

It is not a de Polignac number, because 83351731849 - 21 = 83351731847 is a prime.

It is a super-2 number, since 2×833517318492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83351731796 and 83351731805.

It is not an unprimeable number, because it can be changed into a prime (83351731847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129629122 + ... + 129629764.

Almost surely, 283351731849 is an apocalyptic number.

83351731849 is the 288707-th square number.

83351731849 is the 144354-th centered octagonal number.

It is an amenable number.

83351731849 is a deficient number, since it is larger than the sum of its proper divisors (316172894).

83351731849 is an frugal number, since it uses more digits than its factorization.

83351731849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 1092 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 83351731849 in words is "eighty-three billion, three hundred fifty-one million, seven hundred thirty-one thousand, eight hundred forty-nine".

Divisors: 1 449 643 201601 288707 413449 129629443 185638601 83351731849