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80262148329 = 321123311137067
BaseRepresentation
bin100101010111111111…
…1110011000011101001
321200011121101120220100
41022233333303003221
52303334102221304
6100512200220013
75540654001306
oct1125777630351
9250147346810
1080262148329
1131047987aa0
121367b76a609
13775153bb7c
143c558d80ad
15214b502439
hex12afff30e9

80262148329 has 48 divisors (see below), whose sum is σ = 136229842944. Its totient is φ = 45027813600.

The previous prime is 80262148313. The next prime is 80262148333. The reversal of 80262148329 is 92384126208.

It is not a de Polignac number, because 80262148329 - 24 = 80262148313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80262148339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 497947 + ... + 639120.

It is an arithmetic number, because the mean of its divisors is an integer number (2838121728).

Almost surely, 280262148329 is an apocalyptic number.

It is an amenable number.

80262148329 is a deficient number, since it is larger than the sum of its proper divisors (55967694615).

80262148329 is a wasteful number, since it uses less digits than its factorization.

80262148329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137138 (or 1137135 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 80262148329 in words is "eighty billion, two hundred sixty-two million, one hundred forty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 23 31 33 69 93 99 207 253 279 341 713 759 1023 2139 2277 3069 6417 7843 23529 70587 1137067 3411201 10233603 12507737 26152541 35249077 37523211 78457623 105747231 112569633 235372869 287677951 317241693 387739847 810728771 863033853 1163219541 2432186313 2589101559 3489658623 7296558939 8918016481 26754049443 80262148329