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83157509325 = 35211293344017
BaseRepresentation
bin100110101110010010…
…0101110010011001101
321221122101112011111210
41031130210232103031
52330301310244300
6102111350005033
76002502111102
oct1153444562315
9257571464453
1083157509325
11322a3278620
1214149346779
137ac3347227
14404c262aa9
15226a7c7050
hex135c92e4cd

83157509325 has 48 divisors (see below), whose sum is σ = 150498242496. Its totient is φ = 40181068800.

The previous prime is 83157509317. The next prime is 83157509327. The reversal of 83157509325 is 52390575138.

It is not a de Polignac number, because 83157509325 - 23 = 83157509317 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83157509327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69717 + ... + 413733.

It is an arithmetic number, because the mean of its divisors is an integer number (3135380052).

Almost surely, 283157509325 is an apocalyptic number.

It is an amenable number.

83157509325 is a deficient number, since it is larger than the sum of its proper divisors (67340733171).

83157509325 is a wasteful number, since it uses less digits than its factorization.

83157509325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344334 (or 344329 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 83157509325 in words is "eighty-three billion, one hundred fifty-seven million, five hundred nine thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 293 825 879 1465 3223 4395 7325 9669 16115 21975 48345 80575 241725 344017 1032051 1720085 3784187 5160255 8600425 11352561 18920935 25801275 56762805 94604675 100796981 283814025 302390943 503984905 1108766791 1511954715 2519924525 3326300373 5543833955 7559773575 16631501865 27719169775 83157509325