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285273123138 = 23219243901681
BaseRepresentation
bin1000010011010111001…
…10100110100101000010
31000021100011201011120100
410021223212212211002
514133214404420023
6335015213023230
726416222352313
oct4115346464502
91007304634510
10285273123138
11aaa90271793
1247355484b16
1320b93a600a3
14db432d660a
157649849c43
hex426b9a6942

285273123138 has 36 divisors (see below), whose sum is σ = 652335092838. Its totient is φ = 90086247360.

The previous prime is 285273123137. The next prime is 285273123139. The reversal of 285273123138 is 831321372582.

285273123138 is a `hidden beast` number, since 285 + 27 + 31 + 2 + 313 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (285273123137) and next prime (285273123139).

It can be written as a sum of positive squares in only one way, i.e., 283489158969 + 1783964169 = 532437^2 + 42237^2 .

It is a junction number, because it is equal to n+sod(n) for n = 285273123093 and 285273123102.

It is not an unprimeable number, because it can be changed into a prime (285273123137) 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 17 ways as a sum of consecutive naturals, for example, 21944343 + ... + 21957338.

Almost surely, 2285273123138 is an apocalyptic number.

285273123138 is an abundant number, since it is smaller than the sum of its proper divisors (367061969700).

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

285273123138 is a wasteful number, since it uses less digits than its factorization.

285273123138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43901727 (or 43901705 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 285273123138 in words is "two hundred eighty-five billion, two hundred seventy-three million, one hundred twenty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 43901681 87803362 131705043 263410086 395115129 790230258 834131939 1668263878 2502395817 5004791634 7507187451 15014374902 15848506841 31697013682 47545520523 95091041046 142636561569 285273123138