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83280830325 = 35271121310993
BaseRepresentation
bin100110110001111101…
…1001001111101110101
321221221222120112010020
41031203323021331311
52331024343032300
6102131513115353
76005530243410
oct1154373117565
9257858515106
1083280830325
1132356948500
12141826b8b59
137b12a64934
1440607a4b77
1522765368a0
hex1363ec9f75

83280830325 has 72 divisors (see below), whose sum is σ = 172967304384. Its totient is φ = 34610188800.

The previous prime is 83280830291. The next prime is 83280830357. The reversal of 83280830325 is 52303808238.

It is not a de Polignac number, because 83280830325 - 210 = 83280829301 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 591972 + ... + 719021.

It is an arithmetic number, because the mean of its divisors is an integer number (2402323672).

Almost surely, 283280830325 is an apocalyptic number.

It is an amenable number.

83280830325 is an abundant number, since it is smaller than the sum of its proper divisors (89686474059).

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

83280830325 is a wasteful number, since it uses less digits than its factorization.

83280830325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311035 (or 1311019 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 83280830325 in words is "eighty-three billion, two hundred eighty million, eight hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 121 165 175 231 275 363 385 525 605 825 847 1155 1815 1925 2541 3025 4235 5775 9075 12705 21175 63525 1310993 3932979 6554965 9176951 14420923 19664895 27530853 32774825 43262769 45884755 72104615 98324475 100946461 137654265 158630153 216313845 229423775 302839383 360523075 475890459 504732305 688271325 793150765 1081569225 1110411071 1514196915 2379452295 2523661525 3331233213 3965753825 5552055355 7570984575 11897261475 16656166065 27760276775 83280830325